Graph 7y-1=6

$7 y - 1 = 6$

Step 1

Solve for $y$ .

Move all terms not containing $y$ to the right side of the equation.

Add $1$ to both sides of the equation.

$7 y = 6 + 1$

Add $6$ and $1$ .

$7 y = 7$

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

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

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

Simplify the left side.

Cancel the common factor of $7$ .

Cancel the common factor.

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

Divide $y$ by $1$ .

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

Simplify the right side.

Divide $7$ by $7$ .

$y = 1$

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 $y = m x + b$ .

$m = 0$

$b = 1$

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

Slope: $0$

y-intercept: $(0, 1)$

Slope: $0$

y-intercept: $(0, 1)$

Step 3

Find two points on the line.

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

Step 4

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

Slope: $0$

y-intercept: $(0, 1)$

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

Step 5