Find the X and Y Intercepts y=-1/2x+4

$y = - \frac{1}{2} x + 4$

Find the x-intercepts.

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

$0 = - \frac{1}{2} x + 4$

Solve the equation.

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Rewrite the equation as $- \frac{1}{2} x + 4 = 0$ .

$- \frac{1}{2} x + 4 = 0$

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

$- \frac{x}{2} + 4 = 0$

Subtract $4$ from both sides of the equation.

$- \frac{x}{2} = - 4$

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

$- 2 \cdot (- \frac{x}{2}) = - 2 \cdot - 4$

Simplify both sides of the equation.

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

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Cancel the common factor of $2$ .

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

$- 2 \cdot \frac{- x}{2} = - 2 \cdot - 4$

Factor $2$ out of $- 2$ .

$2 (- 1) \cdot \frac{- x}{2} = - 2 \cdot - 4$

Cancel the common factor.

$2 \cdot - 1 \cdot \frac{- x}{2} = - 2 \cdot - 4$

Rewrite the expression.

$- 1 \cdot (- x) = - 2 \cdot - 4$

Multiply.

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Multiply $- 1$ by $- 1$ .

$1 \cdot x = - 2 \cdot - 4$

Multiply $x$ by $1$ .

$x = - 2 \cdot - 4$

Multiply $- 2$ by $- 4$ .

$x = 8$

x-intercept(s) in point form.

x-intercept(s): $(8, 0)$

Find the y-intercepts.

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

$y = - \frac{1}{2} \cdot 0 + 4$

Solve the equation.

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Remove parentheses.

$y = - \frac{1}{2} \cdot 0 + 4$

Simplify $- \frac{1}{2} \cdot 0 + 4$ .

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

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Multiply $0$ by $- 1$ .

$y = 0 (\frac{1}{2}) + 4$

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

$y = 0 + 4$

Add $0$ and $4$ .

$y = 4$

y-intercept(s) in point form.

y-intercept(s): $(0, 4)$

List the intersections.

x-intercept(s): $(8, 0)$

y-intercept(s): $(0, 4)$

Find the X and Y Intercepts y=-1/2x+4

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