Question

Find the ordered pairs corresponding to the x- and y-intercepts of the graph of the equation.

−5x + 3y = −24

A. x-intercept: (0,−8); y-intercept: (245,0)
B. x-intercept: (245,0); y-intercept: (0,−8)
C. x-intercept: (0,8); y-intercept: (245,0)
D. x-intercept: (245,0); y-intercept: (−8,0)

Answer 1

B (although you failed to put the division bar between the 24 and the 5)

Explanation:

The x-intercept exists where y = 0. So we plug in 0 for y and solve for x:

-5x + 3(0) = -24 and

-5x = -24 so

x = 24/5

The y-intercept exists where x = 0. So we plug in 0 for x and solve for y:

-5(0) + 3y = -24 and

3y = -24 so

y = -8

The coordinate for the x-intercept is (24/5, 0)

The coordinate or the y-intercept is (0, -8)

Choice B