Find the x and y Intercepts -1/2x+3y=-3

$- \frac{1}{2} x + 3 y = - 3$

Find the x-intercepts.

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

$- \frac{1}{2} x + 3 (0) = - 3$

Solve the equation.

Simplify $- \frac{1}{2} x + 3 (0)$ .

Simplify each term.

Combine $x$ and $\frac{1}{2}$ .

$- \frac{x}{2} + 3 (0) = - 3$

Multiply $3$ by $0$ .

$- \frac{x}{2} + 0 = - 3$

Add $- \frac{x}{2}$ and $0$ .

$- \frac{x}{2} = - 3$

Multiply both sides of the equation by $- 2$ .

$- 2 (- \frac{x}{2}) = - 2 \cdot - 3$

Simplify both sides of the equation.

Simplify the left side.

Simplify $- 2 (- \frac{x}{2})$ .

Cancel the common factor of $2$ .

Move the leading negative in $- \frac{x}{2}$ into the numerator.

$- 2 \frac{- x}{2} = - 2 \cdot - 3$

Factor $2$ out of $- 2$ .

$2 (- 1) \frac{- x}{2} = - 2 \cdot - 3$

Cancel the common factor.

$2 \cdot - 1 \frac{- x}{2} = - 2 \cdot - 3$

Rewrite the expression.

$- - x = - 2 \cdot - 3$

Multiply.

Multiply $- 1$ by $- 1$ .

$1 x = - 2 \cdot - 3$

Multiply $x$ by $1$ .

$x = - 2 \cdot - 3$

Simplify the right side.

Multiply $- 2$ by $- 3$ .

$x = 6$

x-intercept(s) in point form.

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

Find the y-intercepts.

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

$- \frac{1}{2} \cdot 0 + 3 y = - 3$

Solve the equation.

Simplify $- \frac{1}{2} \cdot 0 + 3 y$ .

Multiply $- \frac{1}{2} \cdot 0$ .

Multiply $0$ by $- 1$ .

$0 (\frac{1}{2}) + 3 y = - 3$

Multiply $0$ by $\frac{1}{2}$ .

$0 + 3 y = - 3$

Add $0$ and $3 y$ .

$3 y = - 3$

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

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

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

Simplify the left side.

Cancel the common factor of $3$ .

Cancel the common factor.

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

Divide $y$ by $1$ .

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

Simplify the right side.

Divide $- 3$ by $3$ .

$y = - 1$

y-intercept(s) in point form.

y-intercept(s): $(0, - 1)$

List the intersections.

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

y-intercept(s): $(0, - 1)$

Find the x and y Intercepts -1/2x+3y=-3

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