Question

Find an equation for the line with slope m=-7/12 and which goes through the point (36,-5) .

Write your answer in the y=mx+b form . Do NOT use decimals as part of your answer...express all parts of your equation in integer or reduced fraction form.

Answer 1

In the y = mx + b form of a line, m is the slope and b is the y-intercept.

m = -7/12 in this problem so we have y = (-7/12) x + b.

Now, we have to find b.

Answer 2

(36,-5) is a point on the line. So, (36,-5) has to "satisfy" or make the equation true.

So,

-5 = (-7/12) * (36) + b

The next step is to sove this equation for b.

Answer 3

What is -7/12 times 36 ?

Answer 4

-21?

Answer 5

Yes.
So,
-5 = (-7/12) * (36) + b

-5 = -21 + b

b = 16 -->

Answer 6

From above,
we have y = (-7/12) x + b.
b = 16

So, what y = (-7/12) x + ?

Answer 7

y=-7/12x+16

Answer 8

That is what I got.

Answer 9

I might write it as y = (-7/12) x + 16 so that nobody thinks that the x is in a denominator. You write as you do in class.

Answer 10

thanks(:

Answer 11

Glad to help.