91Ó°ÊÓ

In the following exercises, plot each point in a rectangular coordinate system and identify the quadrant in which the point is located.

a)$\left(-2,-3\right)$

b)$\left(3,-3\right)$

c)$\left(-4,1\right)$

d)$\left(4,-1\right)$

e)$\left(\frac{3}{2},1\right)$

In the following exercises, graph by plotting points.

$y=\frac{3}{2}x-3$

In the following exercises, find an equation of a line parallel to the given line and contains the given point. Write the equation in slope-intercept form.

$$\begin{gathered} \mathrm{Line}:\mathrm{x}-2=0 \\ \mathrm{Point}:(1,-2) \end{gathered}$$

In the following exercises, find an equation of a line parallel to the given line and contains the given point. Write the equation in slope-intercept form.

$$\begin{gathered} \mathrm{Line}:\mathrm{y}=5 \\ \mathrm{Point}:(2,-2) \end{gathered}$$

In the following exercises, find an equation of a line parallel to the given line and contains the given point. Write the equation in slope-intercept form.

$$\begin{gathered} \mathrm{Line}:\mathrm{y}+2=0 \\ \mathrm{Point}:(3,-3) \end{gathered}$$

In the following exercises, find an equation of a line perpendicular to the given line and contains the given point. Write the equation in slope-intercept form.

$$\begin{gathered} \mathrm{Line}:\mathrm{y}=-2\mathrm{x}+3 \\ \mathrm{Point}:(2,2) \end{gathered}$$

In the following exercises, find an equation of a line perpendicular to the given line and contains the given point. Write the equation in slope-intercept form.

$$\begin{gathered} \mathrm{Line}:\mathrm{y}=-\mathrm{x}+5 \\ \mathrm{Point}:(3,3) \end{gathered}$$

In the following exercises, find an equation of a line perpendicular to the given line and contains the given point. Write the equation in slope-intercept form.

$$\begin{gathered} \mathrm{Line}:\mathrm{y}=\frac{3}{4}\mathrm{x}-2 \\ \mathrm{Point}:(-3,4) \end{gathered}$$

In the following exercises, find an equation of a line perpendicular to the given line and contains the given point. Write the equation in slope-intercept form.

$$\begin{gathered} \mathrm{Line}:\mathrm{y}=\frac{2}{3}\mathrm{x}-4 \\ \mathrm{Point}:(2,-4) \end{gathered}$$

In the following exercises, find an equation of a line perpendicular to the given line and contains the given point. Write the equation in slope-intercept form.

$$\begin{gathered} \mathrm{Line}:2\mathrm{x}-3\mathrm{y}=8 \\ \mathrm{Point}:(4,-1) \end{gathered}$$