Find the x and y Intercepts y=5-5x

$y = 5 - 5 x$

Find the x-intercepts.

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

$0 = 5 - 5 x$

Solve the equation.

Rewrite the equation as $5 - 5 x = 0$ .

$5 - 5 x = 0$

Subtract $5$ from both sides of the equation.

$- 5 x = - 5$

Divide each term in $- 5 x = - 5$ by $- 5$ and simplify.

Divide each term in $- 5 x = - 5$ by $- 5$ .

$\frac{- 5 x}{- 5} = \frac{- 5}{- 5}$

Simplify the left side.

Cancel the common factor of $- 5$ .

Cancel the common factor.

$\frac{- 5 x}{- 5} = \frac{- 5}{- 5}$

Divide $x$ by $1$ .

$x = \frac{- 5}{- 5}$

Simplify the right side.

Divide $- 5$ by $- 5$ .

$x = 1$

x-intercept(s) in point form.

x-intercept(s): $(1, 0)$

Find the y-intercepts.

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

$y = 5 - 5 \cdot 0$

Solve the equation.

Remove parentheses.

$y = 5 - 5 \cdot 0$

Simplify $5 - 5 \cdot 0$ .

Multiply $- 5$ by $0$ .

$y = 5 + 0$

Add $5$ and $0$ .

$y = 5$

y-intercept(s) in point form.

y-intercept(s): $(0, 5)$

List the intersections.

x-intercept(s): $(1, 0)$

y-intercept(s): $(0, 5)$