91Ó°ÊÓ

Graph each linear function on a graphing calculator, using the two different windows given. State which window gives a comprehensive graph. $$f(x)=3 x+10$$ Window \(A:[-3,3]\) by \([-5,5]\) Window B: \([-5,5]\) by \([-10,14]\)

Write equation in the form \(y=m x+b .\) (A suggested window for a comprehensive graph of the equation is given. \(6 x+5 y=9\) \([-10,10]\) by \([-10,10]\)

$$\text { Solve each equation analytically. Check it analytically, and then support your solution graphically.}$$ $$\frac{3}{4}+\frac{1}{5} x-\frac{1}{2}=\frac{4}{5} x$$

Name the possible quadrants in which the point ( \(x, y\) ) can lie if the given condition is true. $$\frac{x}{y}>0$$

In Exercises \(37-40,\) find the constant of variation \(k\) and the undetermined value in the table if \(y\) is directly proportional to \(x\). Sales tax \(y\) on a purchase of \(x\) dollars \begin{tabular}{c|c|c|c} \(\boldsymbol{x}\) & \(\$ 25\) & \(\$ 55\) & \(?\) \\ \hline \(\boldsymbol{y}\) & \(\$ 1.50\) & \(\mathfrak{S} 3.30\) & \(\mathfrak{S} 5.10\) \end{tabular}

$$\text { Solve each equation analytically. Check it analytically, and then support your solution graphically.}$$ $$5 x-(8-x)=2[-4-(3+5 x-13)]$$

If the \(x\) -coordinate of a point is \(0,\) the point must lie on which axis?

Write equation in the form \(y=m x+b .\) (A suggested window for a comprehensive graph of the equation is given. \(-2 x+7 y=4\) \([-5,5]\) by \([-5,5]\)

Find the slope (if defined) of the line that passes through the given points. \((\)-2,1)\( and \)(3,6)$$

$$\text { Solve each equation analytically. Check it analytically, and then support your solution graphically.}$$ $$-[x-(4 x+2)]=2+(2 x+7)$$