Question

Given the points (3, 0) and (-1, -3), which of the statements below is true?

We know the x-intercept only.
We know the y-intercept only.
We don't know either the x-intercept or the y-intercept.
We know both the x-intercept and the y-intercept.

Answer 1

We can find the line through the two points and its intercepts.

Slope m = (-3 - 0)/(-1 - 3) = -3/ -4 = 3/4.
Using (3,0): y = (3/4)(x - 3) = (3/4)x - 9/4.

x-intercept: (3, 0) (given).
y-intercept: (0, -9/4).

So we know both the x-intercept and the y-intercept.