Find the x and y Intercepts -1/4x-1/3y=12

$- \frac{1}{4} x - \frac{1}{3} y = 12$

Find the x-intercepts.

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

$- \frac{1}{4} x - \frac{1}{3} \cdot 0 = 12$

Solve the equation.

Simplify $- \frac{1}{4} x - \frac{1}{3} \cdot 0$ .

Simplify each term.

Combine $x$ and $\frac{1}{4}$ .

$- \frac{x}{4} - \frac{1}{3} \cdot 0 = 12$

Multiply $- \frac{1}{3} \cdot 0$ .

Multiply $0$ by $- 1$ .

$- \frac{x}{4} + 0 (\frac{1}{3}) = 12$

Multiply $0$ by $\frac{1}{3}$ .

$- \frac{x}{4} + 0 = 12$

Add $- \frac{x}{4}$ and $0$ .

$- \frac{x}{4} = 12$

Multiply both sides of the equation by $- 4$ .

$- 4 (- \frac{x}{4}) = - 4 \cdot 12$

Simplify both sides of the equation.

Simplify the left side.

Simplify $- 4 (- \frac{x}{4})$ .

Cancel the common factor of $4$ .

Move the leading negative in $- \frac{x}{4}$ into the numerator.

$- 4 \frac{- x}{4} = - 4 \cdot 12$

Factor $4$ out of $- 4$ .

$4 (- 1) \frac{- x}{4} = - 4 \cdot 12$

Cancel the common factor.

$4 \cdot - 1 \frac{- x}{4} = - 4 \cdot 12$

Rewrite the expression.

$- - x = - 4 \cdot 12$

Multiply.

Multiply $- 1$ by $- 1$ .

$1 x = - 4 \cdot 12$

Multiply $x$ by $1$ .

$x = - 4 \cdot 12$

Simplify the right side.

Multiply $- 4$ by $12$ .

$x = - 48$

x-intercept(s) in point form.

x-intercept(s): $(- 48, 0)$

Find the y-intercepts.

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

$- \frac{1}{4} \cdot 0 - \frac{1}{3} y = 12$

Solve the equation.

Simplify $- \frac{1}{4} \cdot 0 - \frac{1}{3} y$ .

Simplify each term.

Multiply $- \frac{1}{4} \cdot 0$ .

Multiply $0$ by $- 1$ .

$0 (\frac{1}{4}) - \frac{1}{3} y = 12$

Multiply $0$ by $\frac{1}{4}$ .

$0 - \frac{1}{3} y = 12$

Combine $y$ and $\frac{1}{3}$ .

$0 - \frac{y}{3} = 12$

Subtract $\frac{y}{3}$ from $0$ .

$- \frac{y}{3} = 12$

Multiply both sides of the equation by $- 3$ .

$- 3 (- \frac{y}{3}) = - 3 \cdot 12$

Simplify both sides of the equation.

Simplify the left side.

Simplify $- 3 (- \frac{y}{3})$ .

Cancel the common factor of $3$ .

Move the leading negative in $- \frac{y}{3}$ into the numerator.

$- 3 \frac{- y}{3} = - 3 \cdot 12$

Factor $3$ out of $- 3$ .

$3 (- 1) \frac{- y}{3} = - 3 \cdot 12$

Cancel the common factor.

$3 \cdot - 1 \frac{- y}{3} = - 3 \cdot 12$

Rewrite the expression.

$- - y = - 3 \cdot 12$

Multiply.

Multiply $- 1$ by $- 1$ .

$1 y = - 3 \cdot 12$

Multiply $y$ by $1$ .

$y = - 3 \cdot 12$

Simplify the right side.

Multiply $- 3$ by $12$ .

$y = - 36$

y-intercept(s) in point form.

y-intercept(s): $(0, - 36)$

List the intersections.

x-intercept(s): $(- 48, 0)$

y-intercept(s): $(0, - 36)$

Find the x and y Intercepts -1/4x-1/3y=12

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