Find the x and y Intercepts 4y=2+x

$4 y = 2 + x$

Step 1

Find the x-intercepts.

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

$4 (0) = 2 + x$

Solve the equation.

Rewrite the equation as $2 + x = 4 (0)$ .

$2 + x = 4 (0)$

Multiply $4$ by $0$ .

$2 + x = 0$

Subtract $2$ from both sides of the equation.

$x = - 2$

x-intercept(s) in point form.

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

Step 2

Find the y-intercepts.

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

$4 y = 2 + 0$

Solve the equation.

Add $2$ and $0$ .

$4 y = 2$

Divide each term in $4 y = 2$ by $4$ and simplify.

Divide each term in $4 y = 2$ by $4$ .

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

Simplify the left side.

Cancel the common factor of $4$ .

Cancel the common factor.

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

Divide $y$ by $1$ .

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

Simplify the right side.

Cancel the common factor of $2$ and $4$ .

Factor $2$ out of $2$ .

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

Cancel the common factors.

Factor $2$ out of $4$ .

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

Cancel the common factor.

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

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): $(- 2, 0)$

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

Step 4

Find the x and y Intercepts 4y=2+x

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