Question

Which is the graph of 4x – 3y = 12? A coordinate plane with a line passing through (0, negative 3) and (1, 1). A coordinate plane with a line passing through (negative 2, negative 1) and (4, 1). A coordinate plane with a line passing through (0, negative 12) and (3, 0). A coordinate plane with a line passing through (0, negative 4) and (3, 0).

Answer 1

The last answer choice

Explanation:

If you move subtract 4x from both sides of the equation and then divide both sides by -3, you are left with y=4/3x-4, or a line with a y intercept of (0,-4) and a slope of 4/3. If you plug in 0 for y to find the x intercept, you get:

0=4/3x-4

4=4/3x

x=3

The x intercept is (3,0). Therefore, the correct answer is the final one, since its y intercept is (0,4) and the x intercept is (3,0). Hope this helps!