Question

Find the intercepts of the graph given the following equation 4x – 3y = 12

Answer 1

y-intercept: -4 or (0, -4)

x-intercept: 3 or (3, 0)

Explanation:

4x - 3y = 12

we can convert this to slope-intercept form (y = mx+b) given that m is the slope and b is the y-intercept

4x - 3y = 12

-3y = -4x + 12

y = 4/3x - 4

So the intercept is -4 or (0, -4).

For the x-intercept, we can make the y value 0 to solve for x.

4x - 3y = 12

4x - 3(0) = 12

4x = 12

x = 3

So the x-intercept is 3 or (3, 0).