Find the x and y Intercepts x=-3y

$x = - 3 y$

Step 1

Find the x-intercepts.

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

$x = - 3 \cdot 0$

Solve the equation.

Remove parentheses.

$x = - 3 \cdot 0$

Multiply $- 3$ by $0$ .

$x = 0$

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 $y$ .

$0 = - 3 y$

Solve the equation.

Rewrite the equation as $- 3 y = 0$ .

$- 3 y = 0$

Divide each term in $- 3 y = 0$ by $- 3$ and simplify.

Divide each term in $- 3 y = 0$ by $- 3$ .

$\frac{- 3 y}{- 3} = \frac{0}{- 3}$

Simplify the left side.

Cancel the common factor of $- 3$ .

Cancel the common factor.

$\frac{- 3 y}{- 3} = \frac{0}{- 3}$

Divide $y$ by $1$ .

$y = \frac{0}{- 3}$

Simplify the right side.

Divide $0$ by $- 3$ .

$y = 0$

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