Chapter 3

Determine whether the ordered pairs given are solutions of the linear inequality in two variables. $$ x-y>3 ;(0,3),(2,-1) $$

Use the slope-intercept form to graph each equation. $$ y=2 x+1 $$

Find the slope of the line that passes through the given points. See Examples 1 and 2. $$ (-1,5) \text { and }(6,-2) $$

Determine whether the ordered pairs given are solutions of the linear inequality in two variables. $$ y-x<-2 ;(2,1),(5,-1) $$

Use the slope-intercept form to graph each equation. $$ y=-4 x-1 $$

Find the slope of the line that passes through the given points. See Examples 1 and 2. $$ (-1,16) \text { and }(3,4) $$

Determine whether the ordered pairs given are solutions of the linear inequality in two variables. $$ 3 x-5 y \leq-4 ;(2,3),(-1,-1) $$

Use the slope-intercept form to graph each equation. $$ y=\frac{2}{3} x+5 $$

Find the slope of the line that passes through the given points. See Examples 1 and 2. $$ (1,4) \text { and }(5,3) $$

Determine whether the ordered pairs given are solutions of the linear inequality in two variables. $$ 2 x+y \geq 10 ;(0,11),(5,0) $$

Use the slope-intercept form to graph each equation. $$ y=\frac{1}{4} x-3 $$

Find the slope of the line that passes through the given points. See Examples 1 and 2. $$ (3,1) \text { and }(2,6) $$

Determine whether the ordered pairs given are solutions of the linear inequality in two variables. $$ x<-y ;(0,2),(-5,1) $$

Use the slope-intercept form to graph each equation. $$ y=-5 x $$

Find the slope of the line that passes through the given points. See Examples 1 and 2. $$ (5,1) \text { and }(-2,1) $$

Determine whether the ordered pairs given are solutions of the linear inequality in two variables. $$ y>3 x ;(0,0),(1,4) $$

Use the slope-intercept form to graph each equation. $$ y=-6 x $$

Find the slope of the line that passes through the given points. See Examples 1 and 2. $$ (-8,3) \text { and }(-2,3) $$

Graph each inequality. $$ x+y \leq 1 $$

Use the slope-intercept form to graph each equation. $$ 4 x+y=6 $$

Find the slope of the line that passes through the given points. See Examples 1 and 2. $$ (-4,3) \text { and }(-4,5) $$

Graph each inequality. $$ x+y \geq-2 $$

Use the slope-intercept form to graph each equation. $$ -3 x+y=2 $$

Find the slope of the line that passes through the given points. See Examples 1 and 2. $$ (-2,-3) \text { and }(-2,5) $$

Graph each inequality. $$ 2 x-y>-4 $$

Use the slope-intercept form to graph each equation. $$ 4 x-7 y=-14 $$

Graph each linear equation by finding and plotting its intercepts See Examples 4 and \(5 .\) \(x-y=3\)

Graph each inequality. $$ x-3 y<3 $$

Use the slope-intercept form to graph each equation. $$ 3 x-4 y=4 $$

Graph each linear equation by finding and plotting its intercepts See Examples 4 and \(5 .\) \(x-y=-4\)

Graph each inequality. $$ y \geq 2 x $$

Use the slope-intercept form to graph each equation. $$ x=\frac{5}{4} y $$

Graph each inequality. $$ y \leq 3 x $$

Graph each linear equation by finding and plotting its intercepts See Examples 4 and \(5 .\) \(x=2 y\)

Write an equation of the line with each given slope, \(m\), and \(y\) -intercept, \((0, b) .\) $$ m=5, b=3 $$

Graph each linear equation by finding and plotting its intercepts See Examples 4 and \(5 .\) \(-x+2 y=6\)

Graph each inequality. $$ x>-2 y $$

Write an equation of the line with each given slope, \(m\), and \(y\) -intercept, \((0, b) .\) $$ m=-3, b=-3 $$

Graph each inequality. $$ y \geq x+5 $$

Write an equation of the line with each given slope, \(m\), and \(y\) -intercept, \((0, b) .\) $$ m=-4, b=-\frac{1}{6} $$

Write an equation of the line with each given slope, \(m\), and \(y\) -intercept, \((0, b) .\) $$ m=2, b=\frac{3}{4} $$

Graph each linear equation by finding and plotting its intercepts See Examples 4 and \(5 .\) \(2 x+3 y=6\)

Plot each ordered pair. State in which quadrant or on which axis each point lies. See Example 3. a. (1,5) b. (-5,-2) c. (-3,0) d. (0,-1) e. (2,-4) f. \(\left(-1,4 \frac{1}{2}\right)\) g. (3.7,2.2) h. \(\left(\frac{1}{2},-3\right)\)

Graph each inequality. $$ y<4 $$

Write an equation of the line with each given slope, \(m\), and \(y\) -intercept, \((0, b) .\) $$ m=\frac{2}{3}, b=0 $$

Mixed Practice Find the slope of each line. See Examples 3 through 6. $$ y=5 x-2 $$

Graph each linear equation by finding and plotting its intercepts See Examples 4 and \(5 .\) \(y=2 x\)

Graph each inequality. $$ y>2 $$

Write an equation of the line with each given slope, \(m\), and \(y\) -intercept, \((0, b) .\) $$ m=-\frac{4}{5}, b=0 $$

Mixed Practice Find the slope of each line. See Examples 3 through 6. $$ y=-2 x+6 $$