Question

determine the x- and y- intercepts for the graph defined by the given equation.
y = -8
a. x-intercept is (0, -8)
no y-intercept
c. x-intercept is (-8, 0)
no y-intercept
b. no x-intercept
y-intercept is (0, -8)
d. no x-intercept
y-intercept is (-8, 0)

please select the best answer from the choices provided

a
b
c
d

Explanation:

The equation \( y = -8 \) represents a horizontal line. For the x - intercept, we set \( y = 0 \), but \( 0=-8 \) is false, so there is no x - intercept. For the y - intercept, we set \( x = 0 \), then \( y=-8 \), so the y - intercept is \( (0, - 8) \), which matches option B.

Answer:

B. No x-intercept
y-intercept is (0, -8)