Write the equation of the line with an x-intercept of -5 and a y-intercept of 13

Answer 1

Hey Joe!

In order to find a line with an x and y intercept, we have to use point slope form. However, we don't have the slope, but we can find said slope using the two points we are given (the two intercepts). The x-intercept -5 is the point (-5,0) and the y-intercept 13 is the point (0,13), so we can calculate the slope by rise over run.

(13-0)/(0-(-5))

13/5

Now that we have the slope, we can choose one of the two points (let's use the x intercept (-5,0)), and plug it into point slope form.

(y-y1) = m(x-x1)

y - 0 = 13/5 (x - (-5))

y = 13/5 (x+5)

y = (13/5)x + 13