Write the equation of a line that passes through the point (-5,-4) and has a slope of 1/5

Answers

Answer 1
Linear Equations

Typically, linear equations are written in slope-intercept form:

[tex]y=mx+b[/tex]

m = slopeb = y-intercept (the value of y when the line crosses the y-axis)

To find the equation of a line given a point and the slope:

Plug the slope into y=mx+b as mPlug the point into y=mx+b as (x,y)Solve for bPlug b back into y=mx+b along with m

Solving the Question

We're given:

[tex]m=\dfrac{1}{5}[/tex]Passes through (-5,-4)

[tex]y=mx+b[/tex]

⇒ Plug in the slope, [tex]\dfrac{1}{5}[/tex]:

[tex]y=\dfrac{1}{5}x+b[/tex]

⇒ Plug in the point (-5,-4) and solve for b:

[tex]-4=\dfrac{1}{5}(-5)+b\\\\-4=-1+b\\\\b=-3[/tex]

⇒ Therefore, the y-intercept of the line is -3. Plug this back into our original equation as b:

[tex]y=\dfrac{1}{5}x-3[/tex]

Answer

[tex]y=\dfrac{1}{5}x-3[/tex]


Related Questions

What is 3 2/3 - 1 1/4?

Answers

Answer:

[tex]2\frac{5}{12}[/tex]

Evaluate. Subtract 3 by 1

[tex]3 - 1 = 2[/tex]

Find the least common denominators of the fractions, multiply them by the least common denominators, then subtract.

[tex]\frac{2 * 4}{3 * 4} = \frac{8}{12}[/tex]

[tex]\frac{1 * 3}{4 * 3} = \frac{3}{12}[/tex]

Now subtract.

[tex]\frac{8}{12} - \frac{3}{12} = \frac{5}{12}[/tex]

Add the whole number you found earlier from subtracting 3 and 1 by the new fraction, 5/12

[tex]2 + \frac{5}{12} = 2\frac{5}{12}[/tex]

Help help help math math

Answers

[tex] \frac{2 |x - 3| }{5} = 6 \\ [/tex]

[tex]5 \times \frac{2 |x - 3| }{5} = 5 \times 6 \\ [/tex]

[tex]2 |x - 3| = 30[/tex]

[tex] \frac{2 |x - 3| }{2} = \frac{30}{2} \\ [/tex]

[tex] |x - 3| = 15[/tex]

[tex]x - 3 = 15[/tex]

[tex]x - 3 + 3 = 15 + 3[/tex]

[tex]x = 18[/tex]

OR

[tex]x - 3 = - 15[/tex]

[tex]x - 3 + 3 = - 15 + 3[/tex]

[tex]x = - 12[/tex]

2|x-3|=30
|x-3|=15
x-3=-15
x-3=15
x=-12
x=18

Help picture below problem 3

Answers

Answer:

in a triangle,

G+E+F = 180°

or, 24°+17°+F = 180°

or, 41°+F = 180°

or, F= 180-41

F = 139°

PLEASE PLEASE HELP!
My teacher says it really simple but I do not understand thank you so nuch

Answers

I'm not sure if my answer will help, but oh well.

So basically congruent means equal. so with the two photos you should be able to tell if they are congruent by looking and measuring there angles, sizes, etc.

Find the next two terms in this sequence.

8,5,2,-1,-4 [??][??]

Answers

Answer: -7 , -10

Step-by-step explanation:

the pattern is that every number gets 3 taken away from the last one (8 - 3 is 5, 5 - 3 is 2, etc)

Answer:

-7, -10.

Step-by-step explanation:

Common difference is - 3 so the next term = -4-3 = -7.

The idea of a rigid motion is a significant concept in geometry. Explain what a rigid motion is and why it is important. Using the diagram below identify the specific rigid motions used for the following shapes.

Answers

Answer:

a rigid motion does not affect the overall shape of an object but  moves an object from a starting location to an ending location the resultant figure in cogruent to the original figure.a rigged motionis when an  object is  moved  from one location to another  and the size and shape have not changed.hope it helps :)

Help help help math math math

Answers

S = 3

Because angle B = Y as stated at the top we can assume triangle 2 is a smaller version of triangle 1.

Because the length of the same side on triangle 2 = 2 and on triangle 1 it = 4 we can assume triangle 2 is half the size of the first triangle.

So to find the length of s we divide 6 by 2 because triangle 2 is half the size of triangle 1.

This gives us 3 meaning s = 3

Answer:

uhmm i don't know sorry I am just kind of doing this so I get the credit for answering a question:)

What decimal is being represented by the decimal grid?

a. 232
b. 23.2
c. 2.23
d. 2.32

Answers

Answer:

232

Step-by-step explanation:

232, because each has 100 squares so if you add the 2 filled squares you will get 200. Then if you count the last one only 32 is filled, when u add it it gives you 232

what is the area of the figure below

Answers

Answer:

47 units.

Step-by-step explanation:

You can split the shape into smaller pieces to make it easier to digest.

4*8 is 32 which is the top rectangle.

9-4=5 since you are trying to figure out the second rectangle, not the whole side length.

5*3=15

15+32=47

The area of the figure is 47 square units.

What is a rectangle?

A rectangle is a 2-D shape with length and width.

The length and width are different.

If the length and width are not different then it is a square.

The area of a rectangle is given as:

Area = Length x width

We have,

From the given figure,

We see that,

Two rectangles can be considered.

Now,

One rectangle:

Length = 8

Width = 4

Area = 8 x 4 = 32

Another rectangle:

Length = 5

Width = 3

Area = 5 x 3 = 15

Now,

The area of the figure,

= 32 + 15

= 47

Thus,

The area of the figure is 47 square units.

Learn more about rectangles here:

https://brainly.com/question/15019502

#SPJ2

A line passes through the points (4, 2) and (6, 10). What is its equation in point-slope form? ​

Answers

Answer:

y - 10 = 4(x - 6)

Step-by-step explanation:

Point slope form is

y - y1 = m(x - x1) where m = slope of the line and (x1, y1) is a point on the line.

Here the slope = (10-2)/(6-4)

= 8/2

= 4.

So the equation is

y - 10 = 4(x - 6)    using the point (6, 10)

Please Help!!!!
A ball was thrown upward into the air. The height in feet of the ball, above the ground, t seconds after being thrown can be determined by the expression -16t² + 40t + 3. What is the meaning of the 3 in the expression?
A.) the ball took three seconds to reach its maximum height
B.) the ball took three seconds to reach the ground
C.) the ball was thrown from a height of three feet
​D.) the ball reached a maximum height of three feet

Answers

Answer:

The ball was thrown from a height of [tex]3\; {\rm ft}[/tex].

Step-by-step explanation:

The expression for the height of this ball, [tex]h(t) = -16\, t^{2} + 40\, t + 3[/tex], represents a parabola (with respect to time [tex]t[/tex].)

In this expression, "[tex]3[/tex]" represents the [tex]y[/tex]-intercept of the parabola- the output of the parabola when the input is [tex]t = 0[/tex]. The reason is that when [tex]t = 0\![/tex], terms of this parabola that include [tex]t[/tex] ([tex](-16\, t^{2})[/tex] and [tex]40\, t[/tex]) would evaluate to [tex]0[/tex]:

[tex]\begin{aligned}h(0) &= -16\times 0^{2} + 40\times 0 + 3 = 3\end{aligned}[/tex].

In the case of this ball, the term "[tex]3[/tex]" means that height of this ball is [tex]3\; {\rm ft}[/tex] when [tex]t = 0[/tex] (right when the ball was thrown.) Thus, the ball was thrown from a height of [tex]3\; {\rm ft}[/tex].

10 = v/3 - 10 what is v

Answers

Answer:

v=60

Step-by-step explanation:

10=v/3-10

Subtract 10 from both sides the divide ( however really multiply by the reciprocal.

how many cups are one and one half​

Answers

Answer:

two half

Step-by-step explanation:

because one plus one half equals two half

Answer:

1.5   cups.

1 / 2.33... quarts.

24 tbsp.

12 ounces.

3/32 gallon.

72 tsp.

Step-by-step explanation:

Measurments for liquid are wierd. mashup of every country. us anyway

How much would $600 invested at 8% interest compounded continuously be worth after 3 years. round your answer to the nearest cent. A(t) = P×e^ rt

Answers

The amount $600 would be after 3 years at 8% interest compounded continuously is $755.83

How to calculate compound interest?

Compound interest are amount of money added on amiunt invested.

Given the following parameters

P = $600
r = 8% = 0.08
t = 3 years

Using the compound interest formula

A(t) = Ao(1+r)^t
A(t) = 600(1.08)^3
A(3) = $755.83

Hence the $600 would amount to after 3 years at 8% interest compounded continuously is $755.83

Learn more on compound interest here: https://brainly.com/question/24924853

PLEASEE HELP

The students at Suzanne school are also going to paint a smaller mural inside the building. A scale drawing of the mural is shown on the grid.

Answers

Answer:

The dimensions on paper are 1.992ft by 5.976ft with a scale factor of 7.53

Step-by-step explanation:

The first step will be to find the diagonal of the rea life mural.

We can use Pythagoras' Theorem to do this.

Diagonal = \sqrt{15^2 +45^2 }

15

2

+45

2

=47.43 feet.

Now we have the real-life diagonal, we will now relate the diagonal of the painting outside with the one on paper. We can do this by dividing the two diagonals.

This will be 47.43 / 6.3 units = 7.53.

The scale factor is 7.53

To get the dimensions of the length and the breadth on paper, we divide the outside dimensions by the scale factor.

This will be

Length = 15/ 7.53 = 1.992

Breadth = 45/7.53 = 5.976Length = 15/ 7.53 = 1.992

Breadth = 45/7.53 = 5.976

Therefore, the dimensions on paper are 1.992ft by 5.976ft with a scale factor of 7.53

Presley is marking the lines for a soccer field. She needs to form a right triangle near the goal. She measures the lengths of her sides as 9 yards, 6 yards and √45 yards.
Did Presley form a right triangle? Why?

Yes, because 6 squared + 9 squared = (startRoot 45 EndRoot) squared
Yes, because 6 squared + (StartRoot 45 EndRoot) squared = 9 squared
No, because 6 squared + 9 squared not-equals (StartRoot 45 EndRoot) Squared
No, because 6 squared + (StartRoot 45 EndRoot) squared not-equals 9 squared

Answers

Answer:

Yes, because 6 squared + (StartRoot 45 EndRoot) squared = 9 squared

Step-by-step explanation: its to late but i just want points

Answer:

B) Yes, because 6 squared + (...

Proof:

SOLVE THE EQUATION and explain YOUR ANSWER

Answers

Using the given quadratic function, it is found that:

a) The vertex is (-2.5, -15.5).

b) The y-intercept is of -3.

c) The solutions are x = -0.28, x = 5.28.

What is the quadratic function?

It is modeled by:

f(x) = 2x² - 10x - 3.

Which means that the coefficients are a = 2, b = -10, c = -3.

What is the vertex of the function?

It is given by:

[tex](x_v, y_v)[/tex]

In which:

[tex]x_v = -\frac{b}{2a}[/tex]

[tex]y_v = -\frac{b^2 - 4ac}{4a}[/tex]

Hence:

[tex]x_v = -\frac{-10}{4} = -2.5[/tex]

[tex]y_v = -\frac{(-10)^2 - 4(2)(-3)}{8} = -15.5[/tex]

The vertex is (-2.5, -15.5).

What is the y-intercept of the equation?

It is the value of coefficient c, hence it is of -3.

What are the solutions?

[tex]\Delta = b^2 - 4ac = (-10)^2 - 4(2)(-3) = 124[/tex]

[tex]x_1 = \frac{10 + \sqrt{124}}{4} = 5.28[/tex]

[tex]x_2 = \frac{10 - \sqrt{124}}{4} = -0.28[/tex]

The solutions are x = -0.28, x = 5.28.

More can be learned about quadratic functions at https://brainly.com/question/24737967

Me sucking at math needs help again
10 Points

Answers

Answer:

1 is alternate exterior

2 is none of these

3 and 5 are corresponding

4 is alternate interior

Step-by-step explanation:

Which expression is equivalent to 8x - 2y + x + x ?
x
A 83
B 6x - 2y
C) 4x
D 10x – 2y





Answers

Answer:

D:

10x - 2y

Step-by-step explanation:

A summer camp has a boy-girl ratio of 8:11 if the camp has 88 boys, what is the total number of children in the camp? ​

Answers

There are 111 girls+the 88 boys=199 kids total

Answer:



Step-by-step explanation:

8:11

Grayson surveyed some students at his school about their favorite colors. Of the students surveyed, 2 said orange was their favorite color, while 36 of the students had other favorite colors. What is the experimental probability that the next student Grayson talks to will pick orange?

Answers

Using it's concept, it is found that there is a 0.0526 = 5.26% experimental probability that the next student Grayson talks to will pick orange.

What is a probability?

A probability is given by the number of desired outcomes divided by the number of total outcomes.

In an experimental probability, these number of outcomes are taken from previous trials.

In this problem, 2 out of 38 students picked orange as their favorite color, hence the probability that the next student picks orange is given by:

p = 2/38 = 1/19 = 0.0526.

More can be learned about probabilities at https://brainly.com/question/14398287

Lester bought 6.16 pounds of bologna at the deli. Renee bought 1.33 pounds
of bologna. How much more bologna did Lester buy than Renee? Do not
include units in your answer.

Answers

Answer:

5.32

Step-by-step explanation:

MARK A BRAIN LESS

CARRY ON LEARNING

B BRAIN LY FAST

A bag with 8 marbles has 4 yellow marbles, 3 blue marbles, and 1 red marbles. What is the probabillity that it chosen at random and is yellow?

Answers

Answer:

1/2 = 0.5 = 50%

Step-by-step explanation:

Given:

Yellow marbles = 4Blue marbles = 3Red marbles = 1Total marbles = 8

[tex]\sf Probability\:of\:an\:event\:occurring = \dfrac{Number\:of\:ways\:it\:can\:occur}{Total\:number\:of\:possible\:outcomes}[/tex]

[tex]\implies \sf P(yellow) = \dfrac{4}{8}=\dfrac12[/tex]

This can also be written as 0.5 or 50%

Total marbles=8Yellow marbles=4

Probability of yellow:-

P(Y):-

4/81/20.5

Fill in the blanks…..

Answers

Answer:

A 18c B 2 qt

Step-by-step explanation:

Basically since 1 pt = 2 c then you multiply pt by 2

Since 4 qt = 1 gal then divide qt by 4.

Complete the rule for the
function table.
rule
[?]
input
Х
5
6
7
vo X
output
у
25
30
35

Answers

Answer:

its 35 home boy give me brainliest

Step-by-step explanation:

what is the height I need to get a 100 on this one someone help please

Answers

Answer:

[tex]\bf 5\:inches[/tex]

Step-by-step explanation:

Missing Height= ?

missing height:-

[tex]\bf 15\:in-10\;in[/tex]

[tex]\bf =5 \; in[/tex]

Therefore, the missing height is 5 inches.

12345+12345+12345+12345

Answers

Step-by-step explanation:

12345+12345+12345+12345=12345×49380

find the measures of the missing angles

Answers

Answer:

I cannot see the attachment

Step-by-step explanation:

I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS PLEASE AND PLEASE EXPLAIN WHY THAT IS THE ANSWER

Answers

Step-by-step explanation:

Hi, so both triangles are congruent so they have the same side lengths and angles. You are given in the congruency statment what points equal each other when the give you ABCD=EFGH. if you line them up you can find what lines and angles equal eachother because they will be in the same spot just on top of each other. So you can se that the line CD on the first trangle is equal to the line GH on the second. CD was labled 40ft therfore GH=40ft

What is the height of the building? (show your work) GIVING BRAINLIEST!

Answers

Answer:

so

Step-by-step explanation:

what I did was count the lines start from 5m and go on from there hope this helps :)

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