Question

Write an equation in slope-intercept form for the line that satisfies the following condition.

passes through (13,9) and (30, 26)

Answer 1

y = x - 4

First find the slope of the two coordinates.
Slope is the change in y over the change in x

Y2-Y1 / X2-X1

26-9 / 30-13

17/17 or 1

Now we have
y = 1x + b

To find b, plug in one of the x,y coordinates into this equation

9=1(13) + b
9 = 13 + b
Subtract 13 from each side

-4 = b

So the answer is

y=x-4