Graph x=-7y

$x = - 7 y$

Step 1

Solve for $y$ .

Rewrite the equation as $- 7 y = x$ .

$- 7 y = x$

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

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

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

Simplify the left side.

Cancel the common factor of $- 7$ .

Cancel the common factor.

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

Divide $y$ by $1$ .

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

Simplify the right side.

Move the negative in front of the fraction.

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

Step 2

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.

$y = m x + b$

Write in $y = m x + b$ form.

Reorder terms.

$y = - (\frac{1}{7} x)$

Remove parentheses.

$y = - \frac{1}{7} x$

Step 3

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

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

$m = - \frac{1}{7}$

$b = 0$

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

Slope: $- \frac{1}{7}$

y-intercept: $(0, 0)$

Slope: $- \frac{1}{7}$

y-intercept: $(0, 0)$

Step 4

Any line can be graphed using two points. Select two $x$ values, and plug them into the equation to find the corresponding $y$ values.

Write in $y = m x + b$ form.

Reorder terms.

$y = - (\frac{1}{7} x)$

Remove parentheses.

$y = - \frac{1}{7} x$

Create a table of the $x$ and $y$ values.

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

Step 5

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

Slope: $- \frac{1}{7}$

y-intercept: $(0, 0)$

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

Step 6

Graph x=-7y

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