Graph y<=2x 2 y>=-5x+4

$y \leq 2 x$ $2$ $y \geq - 5 x + 4$

Step 1

Graph $y \leq 2 x$ .

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 $y = m x + b$ .

$m = 2$

$b = 0$

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

Slope: $2$

y-intercept: $(0, 0)$

Slope: $2$

y-intercept: $(0, 0)$

Graph a solid line, then shade the area below the boundary line since $y$ is less than $2 x$ .

$y \leq 2 x$

Step 2

Graph $2$ .

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 $y = m x + b$ .

$m = 0$

$b = 2$

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

Slope: $0$

y-intercept: $(0, 2)$

Slope: $0$

y-intercept: $(0, 2)$

Find two points on the line.

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

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

Slope: $0$

y-intercept: $(0, 2)$

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

Slope: $0$

y-intercept: $(0, 2)$

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

Step 3

Graph $y \geq - 5 x + 4$ .

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 $y = m x + b$ .

$m = - 5$

$b = 4$

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

Slope: $- 5$

y-intercept: $(0, 4)$

Slope: $- 5$

y-intercept: $(0, 4)$

Graph a solid line, then shade the area above the boundary line since $y$ is greater than $- 5 x + 4$ .

$y \geq - 5 x + 4$

Step 4

Plot each graph on the same coordinate system.

$y \leq 2 x$

$2$

$y \geq - 5 x + 4$

Step 5

Graph y<=2x 2 y>=-5x+4

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