Graph y>=-5 y-1<3x

$y \geq - 5$ $y - 1 < 3 x$

Step 1

Graph $y \geq - 5$ .

$y \geq - 5$

Step 2

Graph $y - 1 < 3 x$ .

Add $1$ to both sides of the inequality.

$y < 3 x + 1$

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 $y = m x + b$ .

$m = 3$

$b = 1$

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

Slope: $3$

y-intercept: $(0, 1)$

Slope: $3$

y-intercept: $(0, 1)$

Graph a dashed line, then shade the area below the boundary line since $y$ is less than $3 x + 1$ .

$y < 3 x + 1$

Step 3

Plot each graph on the same coordinate system.

$y \geq - 5$

$y - 1 < 3 x$

Step 4