Graph y>=1.5x-2 y>=-3x x<2 y<=4

$y \geq 1.5 x - 2$ $y \geq - 3 x$ $x < 2$ $y \leq 4$

Graph $y \geq 1.5 x - 2$ .

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 $y = m x + b$ .

$m = 1.5$

$b = - 2$

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

Slope: $1.5$

y-intercept: $(0, - 2)$

Slope: $1.5$

y-intercept: $(0, - 2)$

Graph a solid line, then shade the area above the boundary line since $y$ is greater than $1.5 x - 2$ .

$y \geq 1.5 x - 2$

Graph $y \geq - 3 x$ .

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 $y = m x + b$ .

$m = - 3$

$b = 0$

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

Slope: $- 3$

y-intercept: $(0, 0)$

Slope: $- 3$

y-intercept: $(0, 0)$

Graph a solid line, then shade the area above the boundary line since $y$ is greater than $- 3 x$ .

$y \geq - 3 x$

Graph $x < 2$ .

$x < 2$

Graph $y \leq 4$ .

$y \leq 4$

Plot each graph on the same coordinate system.

$y \geq 1.5 x - 2$

$y \geq - 3 x$

$x < 2$

$y \leq 4$