Graph y<-6/5x+6 y<3/4x+1

$y < - \frac{6}{5} x + 6$ $y < \frac{3}{4} x + 1$

Graph $y < - \frac{6}{5} x + 6$ .

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 $\frac{6}{5}$ .

$y < - \frac{x \cdot 6}{5} + 6$

Move $6$ to the left of $x$ .

$y < - \frac{6 x}{5} + 6$

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

Reorder terms.

$y < - (\frac{6}{5} x) + 6$

Remove parentheses.

$y < - \frac{6}{5} x + 6$

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

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

$m = - \frac{6}{5}$

$b = 6$

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

Slope: $- \frac{6}{5}$

y-intercept: $(0, 6)$

Slope: $- \frac{6}{5}$

y-intercept: $(0, 6)$

Slope: $- \frac{6}{5}$

y-intercept: $(0, 6)$

Graph a dashed line, then shade the area below the boundary line since $y$ is less than $- \frac{6}{5} x + 6$ .

$y < - \frac{6}{5} x + 6$

Graph $y < \frac{3}{4} x + 1$ .

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.

Combine $\frac{3}{4}$ and $x$ .

$y < \frac{3 x}{4} + 1$

Reorder terms.

$y < \frac{3}{4} x + 1$

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

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

$m = \frac{3}{4}$

$b = 1$

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

Slope: $\frac{3}{4}$

y-intercept: $(0, 1)$

Slope: $\frac{3}{4}$

y-intercept: $(0, 1)$

Slope: $\frac{3}{4}$

y-intercept: $(0, 1)$

Graph a dashed line, then shade the area below the boundary line since $y$ is less than $\frac{3}{4} x + 1$ .

$y < \frac{3}{4} x + 1$

Plot each graph on the same coordinate system.

$y < - \frac{6}{5} x + 6$

$y < \frac{3}{4} x + 1$

Graph y<-6/5x+6 y<3/4x+1

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