Find the x and y Intercepts y=-x/4+8

$y = - \frac{x}{4} + 8$

Step 1

Find the x-intercepts.

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

$0 = - \frac{x}{4} + 8$

Solve the equation.

Rewrite the equation as $- \frac{x}{4} + 8 = 0$ .

$- \frac{x}{4} + 8 = 0$

Subtract $8$ from both sides of the equation.

$- \frac{x}{4} = - 8$

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

$- 4 (- \frac{x}{4}) = - 4 \cdot - 8$

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.

$- 4 \frac{- x}{4} = - 4 \cdot - 8$

Factor $4$ out of $- 4$ .

$4 (- 1) \frac{- x}{4} = - 4 \cdot - 8$

Cancel the common factor.

$4 \cdot - 1 \frac{- x}{4} = - 4 \cdot - 8$

Rewrite the expression.

$- - x = - 4 \cdot - 8$

Multiply.

Multiply $- 1$ by $- 1$ .

$1 x = - 4 \cdot - 8$

Multiply $x$ by $1$ .

$x = - 4 \cdot - 8$

Simplify the right side.

Multiply $- 4$ by $- 8$ .

$x = 32$

x-intercept(s) in point form.

x-intercept(s): $(32, 0)$

Step 2

Find the y-intercepts.

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

$y = - \frac{0}{4} + 8$

Solve the equation.

Remove parentheses.

$y = - \frac{0}{4} + 8$

Simplify $- \frac{0}{4} + 8$ .

Simplify each term.

Divide $0$ by $4$ .

$y = - 0 + 8$

Multiply $- 1$ by $0$ .

$y = 0 + 8$

Add $0$ and $8$ .

$y = 8$

y-intercept(s) in point form.

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

Step 3

List the intersections.

x-intercept(s): $(32, 0)$

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

Step 4

Find the x and y Intercepts y=-x/4+8

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