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Problem 6

In Exercises \(5-8\), state whether the boundary of the graph of the inequality should be dashed or solid. $$ 2 x+3 y \leq 6 $$

Problem 6

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

Problem 6

Plot the points and find the slope of the line that passes through the points. \((0,=3),(5,0)\)

Problem 6

Plot the points on a rectangular coordinate system. $$ (-1,3),(0,2),(-4,-4),(-1,0) $$

Problem 7

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

Problem 7

In Exercises 7-14, find the slope of the line that passes through the points. Use the slope to state whether the line rises, falls, is horizontal, or is vertical. Then sketch the line. $$ (-4,-1),(2,6) $$

Problem 7

Plot the points on a rectangular coordinate system. $$ \left(\frac{3}{2},-1\right),\left(-3, \frac{3}{4}\right),\left(\frac{1}{2},-\frac{1}{2}\right) $$

Problem 7

In Exercises \(5-8\), state whether the boundary of the graph of the inequality should be dashed or solid. $$ 2 x+3 y>6 $$

Problem 8

Plot the points on a rectangular coordinate system. $$ \left(-\frac{2}{3}, 4\right),\left(\frac{1}{2},-\frac{5}{2}\right),\left(-4,-\frac{5}{4}\right) $$

Problem 8

Sketch the graph of the equation and label the coordinates of at least three solution points. $$ 2 x-y=5 $$

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