Question

determine the x- and y- intercepts for the graph defined by the given equation.
y = x + 8
a. x-intercept is (0, 8)
y-intercept is (-8, 0)
c. x-intercept is (-8, 0)
y-intercept is (0, 8)
b. x-intercept is (0, -8)
y-intercept is (8, 0)
d. x-intercept is (8, 0)
y-intercept is (0, -8)

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

Explanation:

Step1: Find x-intercept (set y=0)

Set $y=0$ in $y=x+8$: $0=x+8$. Solve for $x$: $x=-8$. So x-intercept is $(-8,0)$.

Step2: Find y-intercept (set x=0)

Set $x=0$ in $y=x+8$: $y=0+8=8$. So y-intercept is $(0,8)$.

Step3: Match with options

The intercepts match option c.

Answer:

c. x-intercept is (-8, 0) y-intercept is (0, 8)