Find the x and y Intercepts y=x-6

$y = x - 6$

Step 1

Find the x-intercepts.

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

$0 = x - 6$

Solve the equation.

Rewrite the equation as $x - 6 = 0$ .

$x - 6 = 0$

Add $6$ to both sides of the equation.

$x = 6$

x-intercept(s) in point form.

x-intercept(s): $(6, 0)$

Step 2

Find the y-intercepts.

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

$y = (0) - 6$

Solve the equation.

Remove parentheses.

$y = 0 - 6$

Remove parentheses.

$y = (0) - 6$

Subtract $6$ from $0$ .

$y = - 6$

y-intercept(s) in point form.

y-intercept(s): $(0, - 6)$

Step 3

List the intersections.

x-intercept(s): $(6, 0)$

y-intercept(s): $(0, - 6)$

Step 4