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

$2 x + y = - 4$ $y = \frac{5}{2} x + 5$

Graph $2 x + y = - 4$ .

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

$y = - 4 - 2 x$

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 $- 4$ and $- 2 x$ .

$y = - 2 x - 4$

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

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

$m = - 2$

$b = - 4$

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

Slope: $- 2$

y-intercept: $(0, - 4)$

Slope: $- 2$

y-intercept: $(0, - 4)$

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

Reorder $- 4$ and $- 2 x$ .

$y = - 2 x - 4$

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

$\begin{array}{c} x & y \\ 0 & - 4 \\ 1 & - 6 \end{array}$

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

Slope: $- 2$

y-intercept: $(0, - 4)$

$\begin{array}{c} x & y \\ 0 & - 4 \\ 1 & - 6 \end{array}$

Slope: $- 2$

y-intercept: $(0, - 4)$

$\begin{array}{c} x & y \\ 0 & - 4 \\ 1 & - 6 \end{array}$

Graph $y = \frac{5}{2} x + 5$ .

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 terms.

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

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

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

$m = \frac{5}{2}$

$b = 5$

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

Slope: $\frac{5}{2}$

y-intercept: $(0, 5)$

Slope: $\frac{5}{2}$

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 terms.

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

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

$\begin{array}{c} x & y \\ 0 & 5 \\ 2 & 10 \end{array}$

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

Slope: $\frac{5}{2}$

y-intercept: $(0, 5)$

$\begin{array}{c} x & y \\ 0 & 5 \\ 2 & 10 \end{array}$

Slope: $\frac{5}{2}$

y-intercept: $(0, 5)$

$\begin{array}{c} x & y \\ 0 & 5 \\ 2 & 10 \end{array}$

Plot each graph on the same coordinate system.

$2 x + y = - 4$

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

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

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