Question

Write an equation in slope-intercept form of the line passing through (8, 1) and (1,8)A.y = x - 7B.y = -x-9C.y= -x +9D.y = -x +7

Answer 1

First we determine the slope (m):

`m=(8-1)/(1-8)\Rightarrow m=-1`

Now, using one of the points and using the expression:

`y-y_1=m(x-x_1)`

We replace the slope (m) and y1 & x1, that is:

`y-1=-1(x-8)\Rightarrow y-1=-x+8\Rightarrow y=-x+9`