Find the x and y Intercepts 3y-6x=18

$3 y - 6 x = 18$

Step 1

Find the x-intercepts.

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

$3 (0) - 6 x = 18$

Solve the equation.

Simplify $3 (0) - 6 x$ .

Multiply $3$ by $0$ .

$0 - 6 x = 18$

Subtract $6 x$ from $0$ .

$- 6 x = 18$

Divide each term in $- 6 x = 18$ by $- 6$ and simplify.

Divide each term in $- 6 x = 18$ by $- 6$ .

$\frac{- 6 x}{- 6} = \frac{18}{- 6}$

Simplify the left side.

Cancel the common factor of $- 6$ .

Cancel the common factor.

$\frac{- 6 x}{- 6} = \frac{18}{- 6}$

Divide $x$ by $1$ .

$x = \frac{18}{- 6}$

Simplify the right side.

Divide $18$ by $- 6$ .

$x = - 3$

x-intercept(s) in point form.

x-intercept(s): $(- 3, 0)$

Step 2

Find the y-intercepts.

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

$3 y - 6 \cdot 0 = 18$

Solve the equation.

Simplify $3 y - 6 \cdot 0$ .

Multiply $- 6$ by $0$ .

$3 y + 0 = 18$

Add $3 y$ and $0$ .

$3 y = 18$

Divide each term in $3 y = 18$ by $3$ and simplify.

Divide each term in $3 y = 18$ by $3$ .

$\frac{3 y}{3} = \frac{18}{3}$

Simplify the left side.

Cancel the common factor of $3$ .

Cancel the common factor.

$\frac{3 y}{3} = \frac{18}{3}$

Divide $y$ by $1$ .

$y = \frac{18}{3}$

Simplify the right side.

Divide $18$ by $3$ .

$y = 6$

y-intercept(s) in point form.

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

Step 3

List the intersections.

x-intercept(s): $(- 3, 0)$

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

Step 4

Find the x and y Intercepts 3y-6x=18

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