Graph -2x=2y-4 2x-y=-5

$- 2 x = 2 y - 4$ $2 x - y = - 5$

Graph $- 2 x = 2 y - 4$ .

Solve for $y$ .

Rewrite the equation as $2 y - 4 = - 2 x$ .

$2 y - 4 = - 2 x$

Add $4$ to both sides of the equation.

$2 y = - 2 x + 4$

Divide each term in $2 y = - 2 x + 4$ by $2$ and simplify.

Divide each term in $2 y = - 2 x + 4$ by $2$ .

$\frac{2 y}{2} = \frac{- 2 x}{2} + \frac{4}{2}$

Simplify the left side.

Cancel the common factor of $2$ .

Cancel the common factor.

$\frac{2 y}{2} = \frac{- 2 x}{2} + \frac{4}{2}$

Divide $y$ by $1$ .

$y = \frac{- 2 x}{2} + \frac{4}{2}$

Simplify the right side.

Simplify each term.

Cancel the common factor of $- 2$ and $2$ .

Factor $2$ out of $- 2 x$ .

$y = \frac{2 (- x)}{2} + \frac{4}{2}$

Cancel the common factors.

Factor $2$ out of $2$ .

$y = \frac{2 (- x)}{2 (1)} + \frac{4}{2}$

Cancel the common factor.

$y = \frac{2 (- x)}{2 \cdot 1} + \frac{4}{2}$

Rewrite the expression.

$y = \frac{- x}{1} + \frac{4}{2}$

Divide $- x$ by $1$ .

$y = - x + \frac{4}{2}$

Divide $4$ by $2$ .

$y = - x + 2$

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 $y = m x + b$ .

$m = - 1$

$b = 2$

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

Slope: $- 1$

y-intercept: $(0, 2)$

Slope: $- 1$

y-intercept: $(0, 2)$

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

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

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

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

Slope: $- 1$

y-intercept: $(0, 2)$

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

Slope: $- 1$

y-intercept: $(0, 2)$

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

Graph $2 x - y = - 5$ .

Solve for $y$ .

Subtract $2 x$ from both sides of the equation.

$- y = - 5 - 2 x$

Divide each term in $- y = - 5 - 2 x$ by $- 1$ and simplify.

Divide each term in $- y = - 5 - 2 x$ by $- 1$ .

$\frac{- y}{- 1} = \frac{- 5}{- 1} + \frac{- 2 x}{- 1}$

Simplify the left side.

Dividing two negative values results in a positive value.

$\frac{y}{1} = \frac{- 5}{- 1} + \frac{- 2 x}{- 1}$

Divide $y$ by $1$ .

$y = \frac{- 5}{- 1} + \frac{- 2 x}{- 1}$

Simplify the right side.

Simplify each term.

Divide $- 5$ by $- 1$ .

$y = 5 + \frac{- 2 x}{- 1}$

Move the negative one from the denominator of $\frac{- 2 x}{- 1}$ .

$y = 5 - 1 \cdot (- 2 x)$

Rewrite $- 1 \cdot (- 2 x)$ as $- (- 2 x)$ .

$y = 5 - (- 2 x)$

Multiply $- 2$ by $- 1$ .

$y = 5 + 2 x$

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 $2 x$ .

$y = 2 x + 5$

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

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

$m = 2$

$b = 5$

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

Slope: $2$

y-intercept: $(0, 5)$

Slope: $2$

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 $2 x$ .

$y = 2 x + 5$

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

$\begin{array}{c} x & y \\ 0 & 5 \\ 1 & 7 \end{array}$

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

Slope: $2$

y-intercept: $(0, 5)$

$\begin{array}{c} x & y \\ 0 & 5 \\ 1 & 7 \end{array}$

Slope: $2$

y-intercept: $(0, 5)$

$\begin{array}{c} x & y \\ 0 & 5 \\ 1 & 7 \end{array}$

Plot each graph on the same coordinate system.

$- 2 x = 2 y - 4$

$2 x - y = - 5$

Graph -2x=2y-4 2x-y=-5

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