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

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

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