Find the x and y Intercepts x+6y=0

$x + 6 y = 0$

Find the x-intercepts.

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

$x + 6 (0) = 0$

Simplify $x + 6 (0)$ .

Multiply $6$ by $0$ .

$x + 0 = 0$

Add $x$ and $0$ .

$x = 0$

x-intercept(s) in point form.

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

Find the y-intercepts.

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

$(0) + 6 y = 0$

Solve the equation.

Add $0$ and $6 y$ .

$6 y = 0$

Divide each term in $6 y = 0$ by $6$ and simplify.

Divide each term in $6 y = 0$ by $6$ .

$\frac{6 y}{6} = \frac{0}{6}$

Simplify the left side.

Cancel the common factor of $6$ .

Cancel the common factor.

$\frac{6 y}{6} = \frac{0}{6}$

Divide $y$ by $1$ .

$y = \frac{0}{6}$

Simplify the right side.

Divide $0$ by $6$ .

$y = 0$

y-intercept(s) in point form.

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

List the intersections.

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

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