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

$8 y = 4 + x$

Step 1

Find the x-intercepts.

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

$8 (0) = 4 + x$

Solve the equation.

Rewrite the equation as $4 + x = 8 (0)$ .

$4 + x = 8 (0)$

Multiply $8$ by $0$ .

$4 + x = 0$

Subtract $4$ from both sides of the equation.

$x = - 4$

x-intercept(s) in point form.

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

Step 2

Find the y-intercepts.

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

$8 y = 4 + 0$

Solve the equation.

Add $4$ and $0$ .

$8 y = 4$

Divide each term in $8 y = 4$ by $8$ and simplify.

Divide each term in $8 y = 4$ by $8$ .

$\frac{8 y}{8} = \frac{4}{8}$

Simplify the left side.

Cancel the common factor of $8$ .

Cancel the common factor.

$\frac{8 y}{8} = \frac{4}{8}$

Divide $y$ by $1$ .

$y = \frac{4}{8}$

Simplify the right side.

Cancel the common factor of $4$ and $8$ .

Factor $4$ out of $4$ .

$y = \frac{4 (1)}{8}$

Cancel the common factors.

Factor $4$ out of $8$ .

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

Cancel the common factor.

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

Rewrite the expression.

$y = \frac{1}{2}$

y-intercept(s) in point form.

y-intercept(s): $(0, \frac{1}{2})$

Step 3

List the intersections.

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

y-intercept(s): $(0, \frac{1}{2})$

Step 4

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

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