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

$- 8 y = 2 + x$

Find the x-intercepts.

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

$- 8 \cdot 0 = 2 + x$

Solve the equation.

Rewrite the equation as $2 + x = - 8 \cdot 0$ .

$2 + x = - 8 \cdot 0$

Multiply $- 8$ by $0$ .

$2 + x = 0$

Subtract $2$ from both sides of the equation.

$x = - 2$

x-intercept(s) in point form.

x-intercept(s): $(- 2, 0)$

Find the y-intercepts.

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

$- 8 y = 2 + 0$

Solve the equation.

Add $2$ and $0$ .

$- 8 y = 2$

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

Divide each term in $- 8 y = 2$ by $- 8$ .

$\frac{- 8 y}{- 8} = \frac{2}{- 8}$

Simplify the left side.

Cancel the common factor of $- 8$ .

Cancel the common factor.

$\frac{- 8 y}{- 8} = \frac{2}{- 8}$

Divide $y$ by $1$ .

$y = \frac{2}{- 8}$

Simplify the right side.

Cancel the common factor of $2$ and $- 8$ .

Factor $2$ out of $2$ .

$y = \frac{2 (1)}{- 8}$

Cancel the common factors.

Factor $2$ out of $- 8$ .

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

Cancel the common factor.

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

Rewrite the expression.

$y = \frac{1}{- 4}$

Move the negative in front of the fraction.

$y = - \frac{1}{4}$

y-intercept(s) in point form.

y-intercept(s): $(0, - \frac{1}{4})$

List the intersections.

x-intercept(s): $(- 2, 0)$

y-intercept(s): $(0, - \frac{1}{4})$

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

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