Find the x and y Intercepts y=-x+8

$y = - x + 8$

Find the x-intercepts.

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

$0 = - x + 8$

Solve the equation.

Rewrite the equation as $- x + 8 = 0$ .

$- x + 8 = 0$

Subtract $8$ from both sides of the equation.

$- x = - 8$

Divide each term in $- x = - 8$ by $- 1$ and simplify.

Divide each term in $- x = - 8$ by $- 1$ .

$\frac{- x}{- 1} = \frac{- 8}{- 1}$

Simplify the left side.

Dividing two negative values results in a positive value.

$\frac{x}{1} = \frac{- 8}{- 1}$

Divide $x$ by $1$ .

$x = \frac{- 8}{- 1}$

Simplify the right side.

Divide $- 8$ by $- 1$ .

$x = 8$

x-intercept(s) in point form.

x-intercept(s): $(8, 0)$

Find the y-intercepts.

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

$y = - (0) + 8$

Solve the equation.

Remove parentheses.

$y = - (0) + 8$

Simplify $- (0) + 8$ .

Multiply $- 1$ by $0$ .

$y = 0 + 8$

Add $0$ and $8$ .

$y = 8$

y-intercept(s) in point form.

y-intercept(s): $(0, 8)$

List the intersections.

x-intercept(s): $(8, 0)$

y-intercept(s): $(0, 8)$