91Ó°ÊÓ

In Exercises 1-8, plot the points on a rectangular coordinate system. $$ (3,2),(-4,2),(2,-4) $$

In Exercises 1-4, determine whether each ordered pair is a solution of the inequality. \(2 x+3 y>9\) (a) \((0,0)\) (b) \((1,1)\) (c) \((2,2)\) (d) \((-2,5)\)

Complete the table and use the results to sketch the graph of the equation. $$ \begin{aligned} &x^{2}+y=-1\\\ &\begin{array}{|l|l|l|l|l|l|} \hline \boldsymbol{x} & -2 & -1 & 0 & 1 & 2 \\ \hline \boldsymbol{y} & & & & & \\ \hline \end{array} \end{aligned} $$

In Exercises 7-12, sketch the graph of the equation and label the coordinates of at least three solution points. $$ 4 x+y=6 $$

In Exercises 17-22, complete the table of values. Then plot the solution points on a rectangular coordinate system. $$ \begin{array}{|l|l|l|l|l|l|} \hline x & -2 & 0 & 2 & 4 & 6 \\ \hline y=3 x-4 & & & & & \\ \hline \end{array} $$

Complete the table of values. Then plot the solution points on a rectangular coordinate system. $$ \begin{array}{|l|l|l|l|l|l|} \hline x & -2 & -1 & 0 & 1 & 2 \\ \hline y=-4 x-5 & & & & & \\ \hline \end{array} $$

A car rental costs $$\$ 50$$ per day plus an additional $$\$ 0.50$$ for each mile driven. The daily cost \(y\) is given by the equation $$ y=0.50 x+50 $$ where \(x\) is the number of miles driven. Find the \(y\)-intercept of the graph of the equation.

In Exercises 23-28, write the equation in slope-intercept form. Use the slope and \(y\)-intercept to sketch the graph of the line. $$ 2 x-y=3 $$

A hot-air balloon at 1120 feet descends at a rate of 80 feet per minute. Let \(y\) represent the height of the balloon and let \(x\) represent the number of minutes the balloon descends. (a) Write an equation that relates the height of the hot-air balloon and the number of minutes it descends. (b) Sketch the graph of the equation. (c) What is the \(y\)-intercept of the graph, and what does it represent in the context of the problem?

You run and walk on a trail that is 6 miles long. You run 4 miles per hour and walk 3 miles per hour. Let \(y\) be the number of hours you walk and let \(x\) be the number of hours you run. (a) Write an equation that relates the number of hours you run and the number of hours you walk to the total length of the trail. (b) Sketch the graph of the equation. (c) What is the \(y\)-intercept of the graph, and what does it represent in the context of the problem?