Determine the x and y intersepts of the line that passes through the following points. (6,-20) (9,-120 (12,-4)

Let's begin by figuring out what the slope of the line is. We can do that using this equation:



If you are subtracting a negative, flip the sign into a positive. This is because a negative times a negative equals a positive.



Now, we can put  into the slope-intercept form, which is this equation:



Let's input m.



After that, we can select any point for the  and  values, input those, and solve for . I'll be using (6, -20).

-20 = 16/6(6) + b
Multiply everything out.
-20 = 16 + b
Subtract 16 from both sides.
-36 = b

With this information, we have this:



When graphed, that equation looks like the picture I've included below.

The x-intercept is the point that strikes the x-axis, and is (13.5, 0). The y-intercept is the point that strikes the y-axis, and is (0, -36).