Graph y>=3x y>0.25x+3

$y \geq 3 x$ $y > 0.25 x + 3$

Step 1

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 $3 x$ .

$y \geq 3 x$

Step 2

Graph $y > 0.25 x + 3$ .

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 $y = m x + b$ .

$m = 0.25$

$b = 3$

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

Slope: $0.25$

y-intercept: $(0, 3)$

Slope: $0.25$

y-intercept: $(0, 3)$

Graph a dashed line, then shade the area above the boundary line since $y$ is greater than $0.25 x + 3$ .

$y > 0.25 x + 3$

Step 3

Plot each graph on the same coordinate system.

$y \geq 3 x$

$y > 0.25 x + 3$

Step 4