Question

find the intercepts and use them to graph the equation.
y = x - 3

select the correct choice below and, if necessary, fill in the answer box to complete your choice.
a. the intercept(s) is/are
(type an ordered pair. use a comma to separate answers as needed.)
b. there are no intercepts.

Explanation:

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

Set $y=0$ in $y=x-3$:
$0 = x - 3$
Solve for $x$: $x=3$
x-intercept: $(3, 0)$

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

Set $x=0$ in $y=x-3$:
$y = 0 - 3$
Solve for $y$: $y=-3$
y-intercept: $(0, -3)$

Answer:

A. The intercept(s) is/are $(3, 0), (0, -3)$

To graph: Plot the points $(3, 0)$ and $(0, -3)$, then draw a straight line passing through both points.