The equation for line passing through (6, 3) and (4, 1) could be written in slope-intercept form as 

The Equation For Line Passing Through (6, 3) And (4, 1) Could Be Written In Slope-intercept Form As

Answers

Answer 1

Answer:

[tex]\boxed {\boxed {\sf E. \ y=x-3}}[/tex]

Step-by-step explanation:

To find the equation of the line, we must first find the slope, then use the point-slope formula.

1. Find the Slope

The slope formula is the change in y over the change in x, or:

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Where (x₁, y₁) and (x₂, y₂) are the points the line passes through.

The points given in the problem are (6,3) and (4,1). Therefore:

[tex]x_1=6 \\y_1=3 \\x_2=4 \\y_2=1[/tex]

Substitute the values into the formula.

[tex]m=\frac{1-3}{4-6}[/tex]

Solve the numerator.

1-3= -2

[tex]m=\frac{-2}{4-6}[/tex]

Solve the denominator.

4-6=-2

[tex]m=\frac{-2}{-2}[/tex]

Divide.

[tex]m=1[/tex]

2. Find the Equation of the Line

We have the slope and a point, so we can use the point-slope formula.

[tex]y-y_1=m(x-x_1)[/tex]

We know the slope is 1 and we can pick either point to use for (x₁, y₁). Let's use (4,1).

[tex]y-1=1(x-4)[/tex]

Distribute the 1.

[tex]y-1=(1*x)+(1*-4)\\y-1=x-4[/tex]

We want to find the equation in y=mx+b, so we must isolate the variable on one side of the equation.

1 is being subtracted from y and the inverse of subtraction is addition. Add 1 to both sides of the equation.

[tex]y-1+1=x-4+1\\y=x-4+1\\y=x-3[/tex]

In slope-intercept form, the equation of the line is y=x-3


Related Questions

pls answer asap no trolls!

Answers

Y because it’s opposite to the longest side.

Which graph shows a proportional relationship between the number of hours of renting a jet ski and the total amount spent to rent the jet ski? (5 points)

a
A graph is shown. The values on the x axis are 0, 2, 4, 6, 8, 10. The values on the y axis are 0, 18, 36, 54, 72, and 90. Points are shown on ordered pairs 0, 0 and 2, 18 and 4, 36 and 6, 48 and 8, 56. These points are connected by a line. The label on the x axis is Number of Hours. The title on the y axis is Total Amount in dollars.

b
A graph is shown. The values on the x axis are 0, 2, 4, 6, 8, 10. The values on the y axis are 0, 18, 36, 54, 72, and 90. Points are shown on ordered pairs 0, 0 and 2, 18 and 4, 36 and 6, 56 and 8, 56. These points are connected by a line. The label on the x axis is Number of Hours. The title on the y axis is Total Amount in dollars.

c
A graph is shown. The values on the x axis are 0, 2, 4, 6, 8, 10. The values on the y axis are 0, 18, 36, 54, 72, and 90. Points are shown on ordered pairs 0, 0 and 2, 18 and 4, 18 and 6, 18 and 8, 18. These points are connected by a line. The label on the x axis is Number of Hours. The title on the y axis is Total Amount in dollars.

d
A graph is shown. The values on the x axis are 0, 2, 4, 6, 8, 10. The values on the y axis are 0, 18, 36, 54, 72, and 90. Points are shown on ordered pairs 0, 0 and 2, 18 and 4, 36 and 6, 54 and 8, 72. These points are connected by a line. The label on the x axis is Number of Hours. The title on the y axis is Total Amount in dollars.

Answers

Answer:

A

Step-by-step explanation:

What is the slope of the line that passes through the points (-1, 4) and (2,6)? Use the slope
formula to find the slope.

Answers

Answer:

I THINK SLOPE 3

Step-by-step explanation: MY GUT TELLS ME SO...

Sandra walks 13 miles in 3 hours. At what unit rate does sandra walk

Answers

Answer:

4.25 mph i think

Step-by-step explanation:

4x 3 =12

1/4 x 4 = 1

12 + 1 = 13

Factor: 4y(3x+2)−2(3x+2)

Answers

Step-by-step explanation:

4y(3x+2)–2(3x+2)

(4y–2)(3x+2)

2(2y–1)(3x+2)

The Factor of given equation  [tex]4y(3x+2)-2(3x+2)[/tex]   is    [tex](2y-1) (6x+4)[/tex] .

What is Factor ?

Factor in an equation is something which is multiplied by something else or we can say that numbers or the variables that are multiplied together.

We have,

 [tex]4y(3x+2)-2(3x+2)[/tex]  

So, first simplify the expression,

      [tex]12xy+8y -6x-4[/tex]

⇒    [tex]12xy-6x+8y-4[/tex]

⇒     [tex]6x(2y-1)+4(2y-1)[/tex]

From we can see that [tex](2y-1)[/tex] is common in both terms,

Therefore,

⇒    [tex](2y-1) (6x+4)[/tex]

So,    [tex](2y-1) (6x+4)[/tex]  is the factor of the given expression.

Hence, we can say that the Factor of given equation [tex]4y(3x+2)-2(3x+2)[/tex]   is    [tex](2y-1) (6x+4)[/tex] .

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Select the correct answer from each drop down menu. City
A -10
City B -1
City C -20
City D -2
The city whose temperature is closest to 0C is _____ and the city whose temperature is farthest from 0C is ______

Answers

Answer:

b.c

Step-by-step explanation:

DE bisects BC. If BC = 5x-3 and CE= 2x+25 find the value of x

Answers

Answer:

x = 53

Step-by-step explanation:

The entire line is BC, the line DE bisects the line BC, meaning it cut the line in half. So CE is half of BC, so the equation for CE has to be multiplied by 2. Therefore:

5x - 3 = (2x + 25)2

multiply

5x - 3 = 4x + 50

ad 3 to both sides

5x = 4x + 53

subtract 4x from both sides

x = 53

Input into the equation to check:

5x - 3 = (2x + 25)2

5(53) - 3 = (2(53) + 25)2

265 - 3 = (106 + 25)2

262 = (131)2

262 = 262, it's correct :)

Answer:

Step-by-step explanation:

Determine the zeros of the function f(x) = (x - 2)(x + 2)(x+1)^2

Answers

Answer-step-by-step

X=2
X=-2
X=-1

Answer:

x=2, x=-2, and x=-1

Step-by-step explanation:

Function: f(x)=(x-2)(x+2)(x+1)²

We can solve each one of the zeros by making the expressions (the ones in the parentheseis) equal zero.

So we have three equations:

1.(x-2)=0

2.(x+2)=0

3.(x+1)²=0

Solve.

1.x-2=0

x=2

2. x+2=0

x=-2

3. (x+1)²=(x+1)(x+1)=0

(x+1)=0

x=-1

(x+1)=0

x=-1

Since those two were the same we can just say x=-1 once.

Here are the three zeros:

x=2, x=-2, and x=-1

hope this helps!

C.
a
C.
If you save 1 paisa the today, 2 paisa the next
day, 4 paisa the succeeding day and so on. The
total savings in two weeks will be in Rs.
b. 183
c. 162.83
d. 164.85
22. The
a. 163
no​

Answers

Answer:

Step-by-step explanation:

[tex]2^{14}[/tex] paisa  =16,384 paisa

Given the formula, y = 3x + 4, enter the value of y in the text box below where the value of x is 2.
X
y = 3x + 4
(x, y)
0

Answers

Answer:

3x+4=3*2+4

3*2+4=6+4

6+4=10

10=10

Check all of the ordered pairs that satisfy the equation below.



A.
(21, )

B.
(7, 14)

C.
(21, 14)

D.
(42, 28)

E.
(14, 21)

F.
(28, 42)

Answers

Answer:

what is the y-coordinate for A?

Step-by-step explanation:

Which linear equations have one solution? Check all that apply.
O 5x–1=3(r + 11)
O 4(r-2) + 4x = 8(x– 9)
O 4(r- 6) + 4 = 2(r-3)
O 2(r- 4) = 5(r- 3) + 3
O 2(- 1) + 3x = 5(r- 2) + 3

Answers

Its the third and the fourth one

In the figure at the right AB || XY, and m<1 = 120. Tell weather each statement is true or false with #8, 9, 10, 11, 12, 13, 14, 15, 16, and 17

Answers

Answer:

False

Step-by-step explanation:because it is.

Please determine x.

Answers

Answer:

6

Step-by-step explanation:

lena has painted 3/4 of a room she has used 1 1/2 gallons of paint how much paint will she need for the whole room?​

Answers

That first answer was not helpful, so I’ll help. For 3/4 of her room, she used 1 and 1/2 gallons. If you divide that by 3, you get 1/2 gallon for each 1/4 of the room. So 1/2*4 equals 2 gallons total used.

A satellite flies 55584 miles in
7.72 hours. How many miles has it flown in 23.19 hours?

Answers

Answer:

Miles flown in 23.19 hours = 166968 miles

Step-by-step explanation:

Given that:

A satellite flies 55584 miles in 7.72 hours

We will find the unit rate first,

Unit rate = [tex]\frac{55584}{7.72}[/tex]

Unit rate = 7200 miles per hour

Miles flown in 23.19 hours,

Miles flown = 7200 * 23.19

Miles flown = 166968 miles

Hence,

Miles flown in 23.19 hours = 166968 miles

Find the sum of -1.5 +3.5 + 2

Answers

Answer:

4, see below :)

Step-by-step explanation:

We can rewrite the equation into:

3.5 + 2 - 1.5

First we add 3.5 and 2

3 and 2 are in the ones place so:

5, and then you added the .5

5.5

Then:

5.5 - 1.5

First we subtract the tenths place so:

.5 - .5 = 0

Then the ones:

5 - 1 = 4

Answer:

4 all i did was, i used a calculator

Sadie went shopping over the weekend and found a sweater that she liked that was regularly 3
$33. She used her 20% off coupon to save her some money. How much money will Sadie save
on the sweater? *

Answers

$26.40 is the answer you are looking for

HELO ASAP ILL GIVE BRAINLIST

Answers

Answer:

Option C is correct

Step-by-step explanation:

Plz help answer my question my lattes question plz

Answer:

C

Step-by-step explanation:

Select all the points that are on the graph of the line:
2x + 4y=20

Answers

Answer:

B=10

Step-by-step explanation:

worked it out on a graph on the internet

Please look at picture

Answers

Answer:

This question is so bad but it is most likely 25% or 0. this has no context in the question

Step-by-step explanation:

What is the surface area of the right cone below?

Answers

Answer:

B. 68pi

Step-by-step explanation:

to find the surface area of a right cone given radius and slant height:

let A = surface area

let r = radius

let l = slant height.

A=pi*r*l + pi* r^2

plug in the values

A=pi*52+pi*16= about 213.62

The surface area of the cone is 68π sq. units.

What is surface area?

The surface area of a figure is the number of unit squares it takes to cover the entire surface without gaps or overlaps. If a three-dimensional figure has flat sides, the sides are called faces. The surface area is the total of the areas of the faces.

Given that, the slant height and the radius of a cone is 13 units and 4 units respectively,

We need to find the surface area of the cone,

SA = π×r×l + π×r²

SA = π(4×13+16)

SA = 68π

Hence, the surface area of the cone is 68π sq. units.

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need the answer please thank you!

Answers

Answer:c

Step-by-step explanation:

C

Answer: c



Step-by-step-explanation
C

Brainliest to CORRECT answer!
Which of the following is not an example of kinetic energy?
Group of answer choices

chemical energy

sound energy

radiant energy

electrical energy

Answers

Answer:

A

Step-by-step explanation:

This is the second part of that question. What's the answer to this​

Answers

Answer:

x = -22

Step-by-step explanation:

The given expression is :

-0.57x+0.27x = 6.6

We need to find the value of x.

x(-0.57+0.27) = 6.6

x(-0.3) = 6.6

[tex]x=\dfrac{6.6}{-0.3}\\\\x=-22[/tex]

So, the value of x is -22.

2. It is required to make a closed cylindrical tank of height 1 m and base diameter 140 cm
from a metal sheet. How many square metres of the sheet are required for the same​

Answers

Answer:

It's required [tex]7.48\ m^2[/tex] of sheet for the tank

Step-by-step explanation:

Surface Area of a Cylinder

Given a right cylinder of base radius r and height h, the surface area is calculated as follows:

[tex]S=2\pi r^2+2\pi r h[/tex]

The cylindrical tank has a height of h=1 m and a base diameter of 140 cm. The radius is half the diameter, thus r=140/2 = 70 cm = 0.7 m. Substituting:

[tex]S=2\pi 0.7^2+2\pi (0.7)(1)[/tex]

[tex]S=2\pi 0.49+1.4\pi[/tex]

[tex]S=2.38\pi[/tex]

[tex]\boxed{S=7.48\ m^2}[/tex]

It's required [tex]7.48\ m^2[/tex] of sheet for the tank

Task Radioactive isotopes decay by emitting radiation. A scientist just received a sample of two different radioactive isotopes, tellurium-131 and neptunium-240. This equation can be used to determine 70), the number of grams of tellurium-131 that will remain in the sample after minutes. T() = 1000. 25 A. How many grams of tellurium-131 were in the sample the moment the scientist received it? Provide evidence to support your answer. B. How many grams of tellurium-131 will remain in the sample after one hour? Provide evidence to support your answer.

Answers

Answer:

Following are the solution to this question:

Step-by-step explanation:

[tex]\to tellurium-131\\\\ \to T(t) =1000 \times e^{\frac{\log(2)}{25}t}[/tex]

where t = in miles

In part A:

When scientists got t=0, therefore the tellurium quantity.

[tex]\to T(t) = 1000 \times e^{0}[/tex]

           [tex]= 1000 \times 1 \\\\= 1000 \ grams[/tex]

In part B:

When 1 hours =  60 min  

[tex]T(t) = 1000 \times e^{\frac{\log 2}{25} \times 60} \\\\[/tex]

      [tex]= 1000 \times e^{\frac{\log 2}{5} \times 12}\\\\= 1000 \times e^{0.72247199}\\\\\= 1000 \times 2.05951803\\\\=2059.51803\\\\=2059.51 \ grams[/tex]

Task Radioactive isotopes decay by emitting radiation is that :

A) The tellurium-131 were in the sample the moment the scientist received are 1000 grams.

B)The grams of tellurium-131 will remain in the sample after one hour is 2059.51.

Given :

Tellurium-131T(t)=100*[tex]e^{log2/25} t[/tex]where t = in miles

Part A:

When scientists got t=0,

t=1000*[tex]e^{o}[/tex]

t=1000*1

t=1000 grams

The tellurium-131 were in the sample the moment the scientist received are 1000 grams.

Part B:

The grams of tellurium-131 will remain in the sample after one hour is :

T(t)=1000*[tex]e^{log2/25} t[/tex]T(t)=1000*[tex]e^{0.7224}[/tex]T(t)=1000*2.059T(t)=  2059.51

The grams of tellurium-131 will remain in the sample after one hour is 2059.51.

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How do I solve -7x+9=51

Answers

The answer is -6.
-7x+9=51
-7x=42
X=-6

triangles abc, dbe, and fbg are all symmetric about the y-axis. what are the coordinates of the centroid?
please help

Answers

Answer:

The coordinates of the centroid are (0, 5)

Step-by-step explanation:

The coordinates of the centroid of a triangle whose vertices (x1, y1), (x2, y2), and (x3, y3) are ([tex]\frac{x1+x2+x3}{3}[/tex] , [tex]\frac{y1+y2+y3}{3}[/tex])

In Δ ABC

∵ A = (-20, 0), B = (0, 15), C = (20, 0)

∴ x1 = -20, x2 = 0, x3 = 20

∴ y1 = 0, y2 = 15, y3 = 0

∴ The centroid = ([tex]\frac{-20+0+20}{3}[/tex] , [tex]\frac{0+15+0}{3}[/tex]) = ([tex]\frac{0}{3}[/tex] , [tex]\frac{15}{3}[/tex]) = (0, 5)

The coordinates of the centroid of Δ ABC are (0, 5)

In Δ DBE

∵ D = (-15, 0), B = (0, 15), E = (15, 0)

∴ x1 = -15, x2 = 0, x3 = 15

∴ y1 = 0, y2 = 15, y3 = 0

∴ The centroid = ([tex]\frac{-15+0+15}{3}[/tex] , [tex]\frac{0+15+0}{3}[/tex]) = ([tex]\frac{0}{3}[/tex] , [tex]\frac{15}{3}[/tex]) = (0, 5)

The coordinates of the centroid of Δ DBE are (0, 5)

In Δ FBG

∵ F = (-5, 0), B = (0, 15), G = (5, 0)

∴ x1 = -5, x2 = 0, x3 = 5

∴ y1 = 0, y2 = 15, y3 = 0

∴ The centroid = ([tex]\frac{-5+0+5}{3}[/tex] , [tex]\frac{0+15+0}{3}[/tex]) = ([tex]\frac{0}{3}[/tex] , [tex]\frac{15}{3}[/tex]) = (0, 5)

The coordinates of the centroid of Δ FBG are (0, 5)

∵ The three triangles are symmetric about the y-axis

→ That means they have the same centroid and it lies on the y-axis

The coordinates of the centroid are (0, 5)

It takes Paresh 4 hours to bike 26 miles. He plans to bike 7 hours tomorrow. If he bikes at the same rate, how far will Paresh bike in 7 hours?

Answers

Answer:

7x26

Step-by-step explanation:

26/4 is 6.5 so his rate is 6.5 mph

If he goes at this rate for 7 hours that would be 6.5x7= 45.5
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