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Problem 32

Find the slope of the line that passes through the given points, if possible. See Example 2. $$ (-7,-2),(70,40) $$

Problem 32

Determine whether the relation defines \(y\) to be a function of \(x .\) If it does not, find two ordered pairs where more than one value of \(y\) corresponds to a single value of \(x .\) $$ \begin{array}{|c|c|} \hline x & y \\ \hline 30 & 2 \\ 30 & 4 \\ 30 & 6 \\ 30 & 8 \\ 30 & 10 \\ \hline \end{array} $$

Problem 32

Graph each function by creating a table of function values and plotting points. Give the domain and range of the function. See Examples 2, 3, and 4. $$ f(x)=x^{3}+2 $$

Problem 32

Use the point–slope form to write an equation of the line with the given properties. Then write each equation in slope–intercept form. Slope \(-7 ;\) passes through \((-3,-7)\)

Problem 33

Find the slope of the line that passes through the given points, if possible. See Example 2. $$ (7,5),(-9,5) $$

Problem 33

Determine whether the relation defines \(y\) to be a function of \(x .\) If it does not, find two ordered pairs where more than one value of \(y\) corresponds to a single value of \(x .\) $$ \begin{array}{|r|r|} \hline x & y \\ \hline-4 & 6 \\ -1 & 0 \\ 0 & -3 \\ 2 & 4 \\ -1 & 2 \\ \hline \end{array} $$

Problem 33

Graph each equation using the intercept method. Label the intercepts on each graph. \(3 x+4 y=12\)

Problem 33

Use the point–slope form to write an equation of the line with the given properties. Then write each equation in slope–intercept form. Slope \(-9 ;\) passes through \((-3.5,2.7)\)

Problem 34

Graph each equation using the intercept method. Label the intercepts on each graph. \(4 x-3 y=12\)

Problem 34

Find the slope of the line that passes through the given points, if possible. See Example 2. $$ (7,5),(-9,5) $$

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