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

The correct option is

(a). x-intercept is ( -9, 0),              

      No y-intercept.

Step-by-step explanation:  We are given to find the x and y intercepts for the graph defined by the following equation:

This is a linear function.

x-intercept of a linear function is the point where the line crosses X-axis, i.e, y = 0.

And,

y-intercept of a linear function is the point where the line crosses Y-axis, i.e, x = 0.

Now, at y = 0, we get

x = - 9.

So, the x-intercept is (-9, 0).

Since the value of x is constant - 9, so it can never be equal to zero.

Hence, there is no y-intercept.

Thus the given line has x-intercept at (-9, 0) and no y-intercept.

Option (a) is CORRECT.