Find the Slope and y-intercept 4y=2

$4 y = 2$

Step 1

Rewrite in slope-intercept form.

The slope-intercept form is $y = m x + b$ , where $m$ is the slope and $b$ is the y-intercept.

$y = m x + b$

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.

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

Step 2

Use the slope-intercept form to find the slope and y-intercept.

Find the values of $m$ and $b$ using the form $y = m x + b$ .

$m = 0$

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

The slope of the line is the value of $m$ , and the y-intercept is the value of $b$ .

Slope: $0$

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

Slope: $0$

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

Step 3