Find the x- and y-intercepts of the graph of the equation using a graphing calculator. Round to three decimal places, if
necessary.
-12x - 24y = 8
A) (-0.333, 0), (0, 0.667)
B) (0.667, 0), (0, -0.667)
C) (0.667, 0), (0, -0.333)
D) (-0.667, 0), (0, -0.333)

Question

Quizplus · Accepted Answer

To find the x-intercept, we set y = 0 and solve for x:
12x - 24(0) = 8
x = 8/12 = 0.667
Therefore, the x-intercept is (0.667, 0).

To find the y-intercept, we set x = 0 and solve for y:
12(0) - 24y = 8
y = -8/24 = -0.333
Therefore, the y-intercept is (0, -0.333).

Choice C gives us both of these values correctly rounded to three decimal places. To find the x-intercept, we set y = 0 and solve for x:

12x - 24(0) = 8
12x = 8
x = 8/12 = 0.667

To find the y-intercept, we set x = 0 and solve for y:

12(0) - 24y = 8
-24y = 8
y = -8/24 = -0.333

Therefore, the x-intercept is (0.667, 0) and the y-intercept is (0, -0.333).

The best choice is C, as it gives the correct values for both intercepts.

Find the X- and Y-Intercepts of the Graph of the Equation