91Ó°ÊÓ

Find an equation of the line having the specified slope and containing the indicated point. Write your final answer as a linear function in slope–intercept form. Then graph the line. $$m=-0.6,(-3,-4)$$

Without graphing, determine whether the graphs of each pair of equations are parallel. $$ \begin{aligned} &f(x)=3 x+9\\\ &2 y=8 x-2 \end{aligned} $$

Find a linear function whose graph has the given slope and \(y\) -intercept. Slope \(-\frac{2}{3}, y-\) intercept \((0,-2)\)

For each pair of functions \(f\) and \(g,\) determine the domain of the sum, the difference, and the product of the two functions. $$\begin{aligned} &f(x)=x^{2}\\\ &g(x)=7 x-4 \end{aligned}$$

Find an equation of the line having the specified slope and containing the indicated point. Write your final answer as a linear function in slope–intercept form. Then graph the line. $$m=2.3,(4,-5)$$

For each pair of functions \(f\) and \(g,\) determine the domain of the sum, the difference, and the product of the two functions. $$f(x)=5 x-1$$, $$g(x)=2 x^{2}$$

Without graphing, determine whether the graphs of each pair of equations are parallel. $$ \begin{aligned} &f(x)=-7 x-9\\\ &-3 y=21 x+7 \end{aligned} $$

Find a linear function whose graph has the given slope and \(y\) -intercept. Slope \(-\frac{3}{4}, y\) -intercept \((0,-5)\)

Without graphing, determine whether the graphs of each pair of equations are perpendicular. $$ \begin{aligned} &x-2 y=3\\\ &4 x+2 y=1 \end{aligned} $$

For each pair of functions \(f\) and \(g,\) determine the domain of the sum, the difference, and the product of the two functions. $$\begin{aligned} &f(x)=\frac{1}{x+5}\\\ &g(x)=4 x^{3} \end{aligned}$$