91Ó°ÊÓ

Find the \(x\) - and \(y\) -intercepts. Then graph each equation. $$ x-3 y=6 $$

Find the slope of the line passing through the given pair of points. \(\left(\right.\) Hint \(\left.: \frac{\frac{a}{b}}{\frac{c}{d}}=\frac{a}{b} \div \frac{c}{d}\right)\) \(\left(\frac{1}{6}, \frac{1}{2}\right)\) and \(\left(\frac{5}{6}, \frac{9}{2}\right)\)

Find the \(x\) - and \(y\) -intercepts. Then graph each equation. $$ x-2 y=-4 $$

Find the slope of the line passing through the given pair of points. \(\left(\right.\) Hint \(\left.: \frac{\frac{a}{b}}{\frac{c}{d}}=\frac{a}{b} \div \frac{c}{d}\right)\) \(\left(\frac{3}{4}, \frac{1}{3}\right)\) and \(\left(\frac{5}{4}, \frac{10}{3}\right)\)

Find the slope of the line passing through the given pair of points. \(\left(\right.\) Hint \(\left.: \frac{\frac{a}{b}}{\frac{c}{d}}=\frac{a}{b} \div \frac{c}{d}\right)\) \(\left(-\frac{2}{9}, \frac{5}{18}\right)\) and \(\left(\frac{1}{18},-\frac{5}{9}\right)\)

Graph the intersection of each pair of inequalities. $$ x+y \leq 1 \quad \text { and } \quad x \geq 1 $$

Find the \(x\) - and \(y\) -intercepts. Then graph each equation. $$ 5 x+6 y=-10 $$

For each function, find (a) \(f(2)\) and (b) \(f(-1)\) $$ \begin{array}{c|c} x & y=f(x) \\ \hline 2 & 4 \\ \hline 1 & 1 \\ \hline 0 & 0 \\ \hline-1 & 1 \\ \hline-2 & 4 \end{array} $$

Write an equation of the line passing through the given point and having the given slope. Give the equation (a) in slope-intercept form and (b) in standard form. See Example 3 and the discussion on standard form. $$ (5,8) ; \text { slope }-2 $$

For each function, find (a) \(f(2)\) and (b) \(f(-1)\) $$ \begin{array}{c|c} x & y=f(x) \\ \hline 8 & 6 \\ \hline 5 & 3 \\ \hline 2 & 0 \\ \hline-1 & -3 \\ \hline-4 & -6 \end{array} $$