Write the equation of each line described.

Through $(-2,7)$ and $(6,-4)$

If the demand for a pair of shoes is given by $2 p+5 q=200$ and the supply function for it is $p-2 q=10$, compare the quantity demanded and the quantity supplied when the price is $\$ 60$. Will there be a surplus or shortfall at this price?

Graph each function using a window that gives a complete graph.

$$y=\frac{x^2\ -\ x\ -\ 6}{x^2\ +\ 5x\ +\ 6}$$

A function and its graph are given. In each problem, find the domain.

$$f(x)=4+\sqrt{49-x^2}$$

Write the equation of each line described.

Through $(-2,1)$ with slope $\frac{2}{5}$

Solve each inequality.

$$2(x+1)>x-1$$

Write the equation of the line that passes through the given point and has the given slope. Then graph the line.

$(-1,1)$ with undefined slope

Use the left-to-right elimination method to solve the systems.

$$\left\{\begin{array}{r}x-3 y-z=0 \\ x-2 y+z=8 \\ 2 x-6 y+z=6\end{array}\right.$$

Write the equation of each line described.

Slope $-\frac{1}{2}$ and $y$-intercept $3$

Write the equation of the line that passes through the given point and has the given slope. Then graph the line.

$(3,-1)$ with slope $1$

Solve each inequality.

$$3(x-1)<2 x-1$$

Use the left-to-right elimination method to solve the systems.

$$\left\{\begin{array}{l}x+4 y-2 z=9 \\ x+5 y+2 z=-2 \\ x+4 y-28 z=22\end{array} \quad\right.$$

A function and its graph are given. In each problem, find the domain.

$$f(x)=\frac{x\ +\ 1}{\sqrt{x\ +\ 3}}$$

Graph each function using a window that gives a complete graph.

$$y=\frac{9 x^3}{4 x^4\ +\ 9}$$