Find the x and y Intercepts y=-5x

$y = - 5 x$

Step 1

Find the x-intercepts.

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

$0 = - 5 x$

Solve the equation.

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

$- 5 x = 0$

Divide each term in $- 5 x = 0$ by $- 5$ and simplify.

Divide each term in $- 5 x = 0$ by $- 5$ .

$\frac{- 5 x}{- 5} = \frac{0}{- 5}$

Simplify the left side.

Cancel the common factor of $- 5$ .

Cancel the common factor.

$\frac{- 5 x}{- 5} = \frac{0}{- 5}$

Divide $x$ by $1$ .

$x = \frac{0}{- 5}$

Simplify the right side.

Divide $0$ by $- 5$ .

$x = 0$

x-intercept(s) in point form.

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

Step 2

Find the y-intercepts.

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

$y = - 5 \cdot 0$

Solve the equation.

Remove parentheses.

$y = - 5 \cdot 0$

Multiply $- 5$ by $0$ .

$y = 0$

y-intercept(s) in point form.

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

Step 3

List the intersections.

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

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

Step 4