Find the x and y Intercepts 2x-8y=8

$2 x - 8 y = 8$

Find the x-intercepts.

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

$2 x - 8 \cdot 0 = 8$

Solve the equation.

Simplify $2 x - 8 \cdot 0$ .

Multiply $- 8$ by $0$ .

$2 x + 0 = 8$

Add $2 x$ and $0$ .

$2 x = 8$

Divide each term in $2 x = 8$ by $2$ and simplify.

Divide each term in $2 x = 8$ by $2$ .

$\frac{2 x}{2} = \frac{8}{2}$

Simplify the left side.

Cancel the common factor of $2$ .

Cancel the common factor.

$\frac{2 x}{2} = \frac{8}{2}$

Divide $x$ by $1$ .

$x = \frac{8}{2}$

Simplify the right side.

Divide $8$ by $2$ .

$x = 4$

x-intercept(s) in point form.

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

Find the y-intercepts.

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

$2 (0) - 8 y = 8$

Solve the equation.

Simplify $2 (0) - 8 y$ .

Multiply $2$ by $0$ .

$0 - 8 y = 8$

Subtract $8 y$ from $0$ .

$- 8 y = 8$

Divide each term in $- 8 y = 8$ by $- 8$ and simplify.

Divide each term in $- 8 y = 8$ by $- 8$ .

$\frac{- 8 y}{- 8} = \frac{8}{- 8}$

Simplify the left side.

Cancel the common factor of $- 8$ .

Cancel the common factor.

$\frac{- 8 y}{- 8} = \frac{8}{- 8}$

Divide $y$ by $1$ .

$y = \frac{8}{- 8}$

Simplify the right side.

Divide $8$ by $- 8$ .

$y = - 1$

y-intercept(s) in point form.

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

List the intersections.

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

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

Find the x and y Intercepts 2x-8y=8

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