Question

determine the x- and y- intercepts for the graph defined by the given equation.
x = -9
a. x-intercept is (-9, 0)
no y-intercept
c. no x-intercept
y-intercept is (0, -9)
b. no x-intercept
y-intercept is (-9, 0)
d. x-intercept is (0, -9)
no y-intercept

please select the best answer from the choices provided
a
b
c
d

Explanation:

Step1: Analyze the equation \( x = -9 \)

The equation \( x = -9 \) represents a vertical line. A vertical line has an undefined slope and is parallel to the \( y \)-axis.

Step2: Find the \( x \)-intercept

For the \( x \)-intercept, we set \( y = 0 \). Substituting \( y = 0 \) into the equation \( x = -9 \), we get \( x = -9 \). So the \( x \)-intercept is \( (-9, 0) \).

Step3: Find the \( y \)-intercept

For the \( y \)-intercept, we set \( x = 0 \). But the equation is \( x = -9 \), which means \( x \) is always \( -9 \) and never \( 0 \). So there is no \( y \)-intercept.

Answer:

a. \( x \)-intercept is \( (-9, 0) \)
No \( y \)-intercept