Question

What is the slope of a line with a x-intercept of -3 and a y-intercept of -4?

-3/4
-4/3
-1/3
-1/4

I think the answer is -3/4 but im not sure.

Please help and show work!!

Answer 1

The x intercept is -3 so the point (-3,0) is on the line. This point is on the horizontal x axis. The x intercept is always in the form (NUMBER,0) where you replace "NUMBER" with any number you want.

The y intercept is -4 so we know that (0,-4) is also on the line. This is on the vertical y axis. The y intercept is always in the form (0,NUMBER)

Use the slope formula to find the slope of the line through the points (-3,0) and (0,-4)

m = (y2-y1)/(x2-x1)

m = (-4-0)/(0-(-3))

m = (-4-0)/(0+3)

m = -4/3

The answer is choice B: -4/3

I have a feeling you mixed up x and y somehow when you got -3/4