Find the x and y Intercepts x-3y=-6

$x - 3 y = - 6$

Step 1

Find the x-intercepts.

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

$x - 3 \cdot 0 = - 6$

Simplify $x - 3 \cdot 0$ .

Multiply $- 3$ by $0$ .

$x + 0 = - 6$

Add $x$ and $0$ .

$x = - 6$

x-intercept(s) in point form.

x-intercept(s): $(- 6, 0)$

Step 2

Find the y-intercepts.

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

$(0) - 3 y = - 6$

Solve the equation.

Subtract $3 y$ from $0$ .

$- 3 y = - 6$

Divide each term in $- 3 y = - 6$ by $- 3$ and simplify.

Divide each term in $- 3 y = - 6$ by $- 3$ .

$\frac{- 3 y}{- 3} = \frac{- 6}{- 3}$

Simplify the left side.

Cancel the common factor of $- 3$ .

Cancel the common factor.

$\frac{- 3 y}{- 3} = \frac{- 6}{- 3}$

Divide $y$ by $1$ .

$y = \frac{- 6}{- 3}$

Simplify the right side.

Divide $- 6$ by $- 3$ .

$y = 2$

y-intercept(s) in point form.

y-intercept(s): $(0, 2)$

Step 3

List the intersections.

x-intercept(s): $(- 6, 0)$

y-intercept(s): $(0, 2)$

Step 4