y = mx + b

m is your slope, b is your y intercept.

You can find your slope by finding your rise/run, or

8 – (-5) / -7 – (-6)

It’s the difference in y between the two points over the difference in x between the two points.

Next, plug in the slope to y=mx+b

y = -13/1x + b

to find b, plug in either of those coordinates into the equation.

8 = -13(-7) + b

8 = 91 + b

-83 = b

Now that you have everything, put b and m into the equation.

y= 13x – 83

2. find the X. (x2-x1 which is -6 minus -7 whcih is 1)

3. find y. (y2 minus y1 which is -5 minus 8 which is -13)

4. put it into a fraction, x over y so its 1/-13 that is rise/run (ud better know what tht is..)

5. so now u can simply follow the rule and 1/-13 is equal to.. thats the x and now u look for a y intercept and u have ur answer..hopefully tht helps,. srry if it didnt.. im only just in geometry, so…

m is the slope.

slope is (y2 – y1) / (x2-x1)

y2= -5

y1=8

x2= -6

x1= -7

So, slope is (-5 -8) / (-6 + 7) = -13/1

The +7 is a result of subtracting -7.

Slope is thus -13. This is m.

Go back to our original equation: y – y1 = m(x – x1)

It now becomes: y – 8 = (-13)(x+7)

Simplify to get: y = -13x – 91 + 8

y = -13x – 83

First, find the slope.

(y2 – y1)/(x2 – x1)

So, plug in both sets of points. You should get:

m = -13, whereas m is the slope.

You know have this equation:

y = -13x + b

Plug in ONE set of points.

-5 = 65 + b

Get b on one side.

b = -70

Okay, put that in place of b.

y = -13x – 70

There’s your equation.

EDIT: Nevermind I did it wrong

then plug into point slope equation:

y – 8 = -13(x+7)

y = -13x -83