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

$y \geq 4 x - 3$ $y \geq 2 x + 4$ $x \leq 2$

Step 1

Graph $y \geq 4 x - 3$ .

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 $y = m x + b$ .

$m = 4$

$b = - 3$

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

Slope: $4$

y-intercept: $(0, - 3)$

Slope: $4$

y-intercept: $(0, - 3)$

Graph a solid line, then shade the area above the boundary line since $y$ is greater than $4 x - 3$ .

$y \geq 4 x - 3$

Step 2

Graph $y \geq 2 x + 4$ .

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 $y = m x + b$ .

$m = 2$

$b = 4$

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: $(0, 4)$

Graph a solid line, then shade the area above the boundary line since $y$ is greater than $2 x + 4$ .

$y \geq 2 x + 4$

Step 3

Graph $x \leq 2$ .

$x \leq 2$

Step 4

Plot each graph on the same coordinate system.

$y \geq 4 x - 3$

$y \geq 2 x + 4$

$x \leq 2$

Step 5