Graph 42-6y=0

$42 - 6 y = 0$

Step 1

Solve for $y$ .

Subtract $42$ from both sides of the equation.

$- 6 y = - 42$

Divide each term in $- 6 y = - 42$ by $- 6$ and simplify.

Divide each term in $- 6 y = - 42$ by $- 6$ .

$\frac{- 6 y}{- 6} = \frac{- 42}{- 6}$

Simplify the left side.

Cancel the common factor of $- 6$ .

Cancel the common factor.

$\frac{- 6 y}{- 6} = \frac{- 42}{- 6}$

Divide $y$ by $1$ .

$y = \frac{- 42}{- 6}$

Simplify the right side.

Divide $- 42$ by $- 6$ .

$y = 7$

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 $y = m x + b$ .

$m = 0$

$b = 7$

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

Slope: $0$

y-intercept: $(0, 7)$

Slope: $0$

y-intercept: $(0, 7)$

Step 3

Find two points on the line.

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

Step 4

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

Slope: $0$

y-intercept: $(0, 7)$

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

Step 5