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Problem 17

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

Problem 18

In Exercises \(17-20\), find the \(\boldsymbol{x}\) - and \(y\)-intercepts and sketch the graph of the equations. $$ y=-\frac{1}{2} x+3 $$

Problem 18

Complete the table of values. Then plot the solution points on a rectangular coordinate system. $$ \begin{array}{|l|l|l|l|l|l|} \hline x & -2 & 0 & 2 & 4 & 6 \\ \hline \boldsymbol{y}=\mathbf{2 x}+\mathbf{1} & & & & & \\ \hline \end{array} $$

Problem 18

Write an equation of the line that passes through the point and is (a) parallel and (b) perpendicular to the given line. $$ \begin{aligned} &(15,-2) \\ &5 x-3 y=0 \end{aligned} $$

Problem 18

In Exercises 17-22, write the equation in slope-intercept form. Use the equation to identify the slope and \(y\)-intercept. $$ \frac{3}{4} x-y=3 $$

Problem 19

Complete the table of values. Then plot the solution points on a rectangular coordinate system. $$ \begin{array}{|l|l|l|l|l|l|} \hline x & -2 & 0 & 4 & 6 & 8 \\ \hline y=-\frac{3}{2} x+5 & & & & & \\ \hline \end{array} $$

Problem 19

In Exercises 17-22, write the equation in slope-intercept form. Use the equation to identify the slope and \(y\)-intercept. $$ 2 x+3 y=6 $$

Problem 20

In Exercises \(17-20\), find the \(\boldsymbol{x}\) - and \(y\)-intercepts and sketch the graph of the equations. $$ 3 x-2 y=1 $$

Problem 20

Complete the table of values. Then plot the solution points on a rectangular coordinate system. $$ \begin{array}{|l|l|l|l|l|l|} \hline x & -4 & -2 & 0 & 2 & 4 \\ \hline y=-\frac{1}{2} x+3 & & & & & \\ \hline \end{array} $$

Problem 20

In Exercises 17-22, write the equation in slope-intercept form. Use the equation to identify the slope and \(y\)-intercept. $$ 4 x+2 y=-8 $$

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