Graph 4x-4y=20 y=-5

$4 x - 4 y = 20$ $y = - 5$

Step 1

Graph $4 x - 4 y = 20$ .

Solve for $y$ .

Subtract $4 x$ from both sides of the equation.

$- 4 y = 20 - 4 x$

Divide each term in $- 4 y = 20 - 4 x$ by $- 4$ and simplify.

Divide each term in $- 4 y = 20 - 4 x$ by $- 4$ .

$\frac{- 4 y}{- 4} = \frac{20}{- 4} + \frac{- 4 x}{- 4}$

Simplify the left side.

Cancel the common factor of $- 4$ .

Cancel the common factor.

$\frac{- 4 y}{- 4} = \frac{20}{- 4} + \frac{- 4 x}{- 4}$

Divide $y$ by $1$ .

$y = \frac{20}{- 4} + \frac{- 4 x}{- 4}$

Simplify the right side.

Simplify each term.

Divide $20$ by $- 4$ .

$y = - 5 + \frac{- 4 x}{- 4}$

Cancel the common factor of $- 4$ .

Cancel the common factor.

$y = - 5 + \frac{- 4 x}{- 4}$

Divide $x$ by $1$ .

$y = - 5 + x$

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.

$y = m x + b$

Reorder $- 5$ and $x$ .

$y = x - 5$

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

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

$m = 1$

$b = - 5$

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

Slope: $1$

y-intercept: $(0, - 5)$

Slope: $1$

y-intercept: $(0, - 5)$

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

Reorder $- 5$ and $x$ .

$y = x - 5$

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

$\begin{array}{c} x & y \\ 0 & - 5 \\ 1 & - 4 \end{array}$

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

Slope: $1$

y-intercept: $(0, - 5)$

$\begin{array}{c} x & y \\ 0 & - 5 \\ 1 & - 4 \end{array}$

Slope: $1$

y-intercept: $(0, - 5)$

$\begin{array}{c} x & y \\ 0 & - 5 \\ 1 & - 4 \end{array}$

Step 2

Graph $y = - 5$ .

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 $y = m x + b$ .

$m = 0$

$b = - 5$

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

Slope: $0$

y-intercept: $(0, - 5)$

Slope: $0$

y-intercept: $(0, - 5)$

Find two points on the line.

$\begin{array}{c} x & y \\ 0 & - 5 \\ 1 & - 5 \end{array}$

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

Slope: $0$

y-intercept: $(0, - 5)$

$\begin{array}{c} x & y \\ 0 & - 5 \\ 1 & - 5 \end{array}$

Slope: $0$

y-intercept: $(0, - 5)$

$\begin{array}{c} x & y \\ 0 & - 5 \\ 1 & - 5 \end{array}$

Step 3

Plot each graph on the same coordinate system.

$4 x - 4 y = 20$

$y = - 5$

Step 4

Graph 4x-4y=20 y=-5

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