Find the x and y Intercepts y=x-7

$y = x - 7$

Step 1

Find the x-intercepts.

To find the x-intercept(s), substitute in $0$ for $y$ and solve for $x$ .

$0 = x - 7$

Solve the equation.

Rewrite the equation as $x - 7 = 0$ .

$x - 7 = 0$

Add $7$ to both sides of the equation.

$x = 7$

x-intercept(s) in point form.

x-intercept(s): $(7, 0)$

Step 2

Find the y-intercepts.

To find the y-intercept(s), substitute in $0$ for $x$ and solve for $y$ .

$y = (0) - 7$

Solve the equation.

Remove parentheses.

$y = 0 - 7$

Remove parentheses.

$y = (0) - 7$

Subtract $7$ from $0$ .

$y = - 7$

y-intercept(s) in point form.

y-intercept(s): $(0, - 7)$

Step 3

List the intersections.

x-intercept(s): $(7, 0)$

y-intercept(s): $(0, - 7)$

Step 4