Graph 2y=-7

$2 y = - 7$

Step 1

Divide each term in $2 y = - 7$ by $2$ and simplify.

Divide each term in $2 y = - 7$ by $2$ .

$\frac{2 y}{2} = \frac{- 7}{2}$

Simplify the left side.

Cancel the common factor of $2$ .

Cancel the common factor.

$\frac{2 y}{2} = \frac{- 7}{2}$

Divide $y$ by $1$ .

$y = \frac{- 7}{2}$

Simplify the right side.

Move the negative in front of the fraction.

$y = - \frac{7}{2}$

Step 2

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

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

$y = m x + b$

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

$m = 0$

$b = - \frac{7}{2}$

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

Slope: $0$

y-intercept: $(0, - \frac{7}{2})$

Slope: $0$

y-intercept: $(0, - \frac{7}{2})$

Step 3

Find two points on the line.

$\begin{array}{c} x & y \\ 0 & - \frac{7}{2} \\ 1 & - \frac{7}{2} \end{array}$

Step 4

Graph the line using the slope, y-intercept, and two points.

Slope: $0$

y-intercept: $(0, - \frac{7}{2})$

$\begin{array}{c} x & y \\ 0 & - \frac{7}{2} \\ 1 & - \frac{7}{2} \end{array}$

Step 5