Graph y>=-3/2x-7 y>=x+8

$y \geq - \frac{3}{2} x - 7$ $y \geq x + 8$

Graph $y \geq - \frac{3}{2} x - 7$ .

Find the slope and the y-intercept for the boundary line.

Rewrite in slope-intercept form.

The slope-intercept form is $y = m x + b$ , where $m$ is the slope and $b$ is the y-intercept.

$y = m x + b$

Simplify the right side.

Simplify each term.

Combine $x$ and $\frac{3}{2}$ .

$y \geq - \frac{x \cdot 3}{2} - 7$

Move $3$ to the left of $x$ .

$y \geq - \frac{3 x}{2} - 7$

Write in $y = m x + b$ form.

Reorder terms.

$y \geq - (\frac{3}{2} x) - 7$

Remove parentheses.

$y \geq - \frac{3}{2} x - 7$

Use the slope-intercept form to find the slope and y-intercept.

Find the values of $m$ and $b$ using the form $y = m x + b$ .

$m = - \frac{3}{2}$

$b = - 7$

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

Slope: $- \frac{3}{2}$

y-intercept: $(0, - 7)$

Slope: $- \frac{3}{2}$

y-intercept: $(0, - 7)$

Slope: $- \frac{3}{2}$

y-intercept: $(0, - 7)$

Graph a solid line, then shade the area above the boundary line since $y$ is greater than $- \frac{3}{2} x - 7$ .

$y \geq - \frac{3}{2} x - 7$

Graph $y \geq x + 8$ .

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 $y = m x + b$ .

$m = 1$

$b = 8$

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

Slope: $1$

y-intercept: $(0, 8)$

Slope: $1$

y-intercept: $(0, 8)$

Graph a solid line, then shade the area above the boundary line since $y$ is greater than $x + 8$ .

$y \geq x + 8$

Plot each graph on the same coordinate system.

$y \geq - \frac{3}{2} x - 7$

$y \geq x + 8$

Graph y>=-3/2x-7 y>=x+8

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