Chapter 4

Rewrite the equation in slope-intercept form. $$2 y+12=x$$

Plot the points and draw a line that passes through them. Use the rise and run to find the slope. \((3,1)\) and \((-3,-2)\)

Determine whether the given ordered pair is a solution of the equation. $$ y=3,(3,-3) $$

Use a table of values to graph the equation. $$ x+y=6 $$

Plot and label the ordered pairs in a coordinate plane. $$ A(4,1), B(0,-3), C(3,3) $$

Describe the steps you would use to solve the inequality. $$ \frac{3}{4} x+5>-15 $$

Determine whether the relation is a function. If it is a function, give the domain and the range. $$ \begin{array}{|c|c|} \hline \text { Input } & {\text { Output }} \\ \hline 0 & {2} \\ \hline 1 & {4} \\ \hline 2 & {6} \\ \hline 3 & {8} \\ \hline \end{array} $$

In Exercises 16–24, the variables x and y vary directly. Use the given values to write an equation that relates x and y. $$ x=4, y=12 $$

Rewrite the equation in slope-intercept form. $$3 x-6 y=18$$

Plot the points and draw a line that passes through them. Use the rise and run to find the slope. \((2,2)\) and \((6,-1)\)

Determine whether the given ordered pair is a solution of the equation. $$ y=0,(0,1) $$

Determine whether the ordered pair is a solution of the equation. $$ y=2 x+1,(5,11) $$

Plot and label the ordered pairs in a coordinate plane. $$ A(0,0), B(2,-2), C(-2,0) $$

Describe the steps you would use to solve the inequality. $$ 22+3 b \leq-2 $$

Determine whether the relation is a function. If it is a function, give the domain and the range. $$ \begin{array}{|c|c|} \hline \text { Input } & {\text { Output }} \\ \hline 0 & {1} \\ \hline 2 & {2} \\ \hline 4 & {3} \\ \hline 3 & {4} \\ \hline \end{array} $$

In Exercises 16–24, the variables x and y vary directly. Use the given values to write an equation that relates x and y. $$ x=7, y=35 $$

Find the slope and y-intercept of the graph of the equation. $$y=6 x+4$$

Plot the points and draw a line that passes through them. Use the rise and run to find the slope. $$ (-2,1) \text { and }(2,4) $$

Determine whether the ordered pair is a solution of the equation. $$ y=5-3 x,(2,0) $$

Plot and label the ordered pairs in a coordinate plane. $$ A(-4,1), B(-1,5), C(0,-4) $$

Describe the steps you would use to solve the inequality. $$ \frac{4}{3} t+5>\frac{1}{3} t $$

Determine whether the relation is a function. If it is a function, give the domain and the range. $$ \begin{array}{|c|c|} \hline \text { Input } & {\text { Output }} \\ \hline 1 & {1} \\ \hline 3 & {2} \\ \hline 5 & {3} \\ \hline 7 & {1} \\ \hline \end{array} $$

In Exercises 16–24, the variables x and y vary directly. Use the given values to write an equation that relates x and y. $$ x=12, y=48 $$

Find the slope and y-intercept of the graph of the equation. $$y=3 x-7$$

Find the x-intercept of the line. $$ x-2 y=4 $$

Plot the points and draw a line that passes through them. Use the rise and run to find the slope. $$ (1,-3) \text { and }(4,0) $$

Find three ordered pairs that are solutions of the equation. $$ x=9 $$

Determine whether the ordered pair is a solution of the equation. $$ 2 y-4 x=8,(-2,8) $$

Plot and label the ordered pairs in a coordinate plane. $$ A(3,-5), B(5,3), C(-3,-1) $$

Describe the steps you would use to solve the inequality. $$ 6(z-2)<15 $$

In Exercises 16–24, the variables x and y vary directly. Use the given values to write an equation that relates x and y. $$ x=15, y=90 $$

Find the slope and y-intercept of the graph of the equation. $$y=2 x-9$$

Find the x-intercept of the line. $$ x+4 y=-2 $$

Find three ordered pairs that are solutions of the equation. $$ x=\frac{1}{2} $$

Determine whether the ordered pair is a solution of the equation. $$ 5 x-8 y=15,(3,0) $$

Without plotting the point, tell whether it is in Quadrant I, Quadrant II, Quadrant III, or Quadrant IV. $$ (5,-3) $$

Solve the inequality. $$ x+5>-13 $$

In Exercises 16–24, the variables x and y vary directly. Use the given values to write an equation that relates x and y. $$ x=22, y=11 $$

Find the slope and y-intercept of the graph of the equation. $$y=\frac{1}{4} x-3$$

Find the x-intercept of the line. $$ 2 x-3 y=6 $$

Find three ordered pairs that are solutions of the equation. $$ y=10 $$

Determine whether the ordered pair is a solution of the equation. $$ 6 y-3 x=-9,(1,-1) $$

Without plotting the point, tell whether it is in Quadrant I, Quadrant II, Quadrant III, or Quadrant IV. $$ (-2,7) $$

Solve the inequality. $$ -6+5 x<19 $$

In Exercises 16–24, the variables x and y vary directly. Use the given values to write an equation that relates x and y. $$ x=9, y=-3 $$

Find the slope and y-intercept of the graph of the equation. $$y-9 x=0$$

Find the x-intercept of the line. $$ 5 x+6 y=95 $$

Find three ordered pairs that are solutions of the equation. $$ y=-5 $$

Determine whether the ordered pair is a solution of the equation. $$ -2 x-9 y=7,(-1,-1) $$

Without plotting the point, tell whether it is in Quadrant I, Quadrant II, Quadrant III, or Quadrant IV. $$ (6,17) $$