Chapter 3
Algebra for College Students · 201 exercises
Problem 32
Graph each linear equation. Plot four points for each line. $$x=-3$$
4 step solution
Problem 32
Find the slope of the line that contains each of the following pairs of points. \((1988,306),(1990,315)\)
4 step solution
Problem 33
Determine which of the ordered pairs \((1,3),(-2,5)\) \((-6,-4),\) and \((7,-8)\) satisfy each compound or absolute value inequality. $$y>4 \text { or } x<1$$
3 step solution
Problem 33
Graph each linear equation. Plot four points for each line. $$y=\frac{1}{2} x-1$$
5 step solution
Problem 33
Find the slope of the line that contains each of the following pairs of points. \((4,7),(-12,7)\)
5 step solution
Problem 34
Determine which of the ordered pairs \((1,3),(-2,5)\) \((-6,-4),\) and \((7,-8)\) satisfy each compound or absolute value inequality. $$y<2 \text { or } x<0$$
4 step solution
Problem 34
Graph each linear equation. Plot four points for each line. $$y=\frac{1}{3} x-2$$
8 step solution
Problem 34
Find the slope of the line that contains each of the following pairs of points. \((5,-3),(9,-3)\)
4 step solution
Problem 35
Determine which of the ordered pairs \((1,3),(-2,5)\) \((-6,-4),\) and \((7,-8)\) satisfy each compound or absolute value inequality. \(y>4\) and \(x<1\)
6 step solution
Problem 35
Graph each linear equation. Plot four points for each line. $$y+3=0$$
5 step solution
Problem 35
Find the slope of the line that contains each of the following pairs of points. \((2,6),(2,-6)\)
5 step solution
Problem 36
Determine which of the ordered pairs \((1,3),(-2,5)\) \((-6,-4),\) and \((7,-8)\) satisfy each compound or absolute value inequality. \(y<2\) and \(x<0\)
5 step solution
Problem 36
Graph each linear equation. Plot four points for each line. $$y+4=0$$
5 step solution
Problem 37
Determine which of the ordered pairs \((1,3),(-2,5)\) \((-6,-4),\) and \((7,-8)\) satisfy each compound or absolute value inequality. $$y>5 x \text { and } y<-x$$
5 step solution
Problem 37
Graph each linear equation. Plot four points for each line. $$x-4=0$$
5 step solution
Problem 37
Find the slope of the line that contains each of the following pairs of points. $$(24.3,11.9),(3.57,8.4)$$
7 step solution
Problem 38
Determine which of the ordered pairs \((1,3),(-2,5)\) \((-6,-4),\) and \((7,-8)\) satisfy each compound or absolute value inequality. $$y>5 x \text { and } y>-x$$
5 step solution
Problem 38
Graph each linear equation. Plot four points for each line. $$x+5=0$$
4 step solution
Problem 38
Find the slope of the line that contains each of the following pairs of points. $$(-2.7,19.3),(5.46,-3.28)$$
7 step solution
Problem 39
Determine which of the ordered pairs \((1,3),(-2,5)\) \((-6,-4),\) and \((7,-8)\) satisfy each compound or absolute value inequality. $$y>-x+1 \text { or } y>4 x$$
4 step solution
Problem 39
Graph each pair of lines in the same coordinate system using the slope and y-intercept. $$\begin{aligned}&y=x+3\\\&y=x+2\end{aligned}$$
4 step solution
Problem 39
Graph each linear equation. Plot four points for each line. $$y=\frac{1}{2} x$$
5 step solution
Problem 40
Determine which of the ordered pairs \((1,3),(-2,5)\) \((-6,-4),\) and \((7,-8)\) satisfy each compound or absolute value inequality. $$y>-x+1 \text { or } y<4 x$$
6 step solution
Problem 40
Graph each pair of lines in the same coordinate system using the slope and y-intercept. $$\begin{aligned}&y=-x+2\\\&y=-x-2\end{aligned}$$
8 step solution
Problem 40
Graph each linear equation. Plot four points for each line. $$y=-\frac{2}{3} x$$
5 step solution
Problem 41
Determine which of the ordered pairs \((1,3),(-2,5)\) \((-6,-4),\) and \((7,-8)\) satisfy each compound or absolute value inequality. $$|x+y|<3$$
5 step solution
Problem 41
Graph each pair of lines in the same coordinate system using the slope and y-intercept. $$ \begin{array}{l} y=3 x+1 \\ y=-\frac{1}{3} x+1 \end{array} $$
9 step solution
Problem 41
Graph each linear equation. Plot four points for each line. $$3 x+y=5$$
6 step solution
Problem 42
Determine which of the ordered pairs \((1,3),(-2,5)\) \((-6,-4),\) and \((7,-8)\) satisfy each compound or absolute value inequality. $$|x-y|>2$$
5 step solution
Problem 42
Graph each pair of lines in the same coordinate system using the slope and y-intercept. $$ \begin{aligned} &y=2 x+3\\\ &y=-\frac{1}{2} x+3 \end{aligned} $$
9 step solution
Problem 42
Graph each linear equation. Plot four points for each line. $$x+2 y=4$$
5 step solution
Problem 43
Graph each pair of lines in the same coordinate system using the slope and y-intercept. $$ \begin{aligned} &y=\frac{2}{3} x-1\\\ &y=\frac{2}{3} x+1 \end{aligned} $$
8 step solution
Problem 43
Graph each linear equation. Plot four points for each line. $$6 x+3 y=0$$
5 step solution
Problem 44
Graph each pair of lines in the same coordinate system using the slope and y-intercept. $$ \begin{aligned} &y=-2 x+4\\\ &y=-2 x+2 \end{aligned} $$
9 step solution
Problem 44
Graph each linear equation. Plot four points for each line. $$2 x+4 y=0$$
5 step solution
Problem 45
Graph each pair of lines in the same coordinate system using the slope and y-intercept. $$ \begin{aligned} &y=\frac{3}{4} x+3\\\ &y=-\frac{4}{3} x+1 \end{aligned} $$
9 step solution
Problem 45
Graph each linear equation. Plot four points for each line. $$y=2 x-20$$
5 step solution
Problem 46
Graph each pair of lines in the same coordinate system using the slope and y-intercept. $$ \begin{aligned} &y=\frac{2}{3} x+1\\\ &y=-\frac{3}{2} x+3 \end{aligned} $$
5 step solution
Problem 46
Graph each linear equation. Plot four points for each line. $$y=40-2 x$$
5 step solution
Problem 47
Find the \(x\) - and \(y\) -intercepts for each line and use them to graph the line. $$4 x-3 y=12$$
4 step solution
Problem 47
In each case find the slope of line I and graph both lines that are mentioned. Line \(l\) is perpendicular to a line with slope \(\frac{4}{5}\). Both lines contain the origin.
4 step solution
Problem 48
Find the \(x\) - and \(y\) -intercepts for each line and use them to graph the line. $$2 x+5 y=20$$
3 step solution
Problem 49
Find the \(x\) - and \(y\) -intercepts for each line and use them to graph the line. $$x-y+5=0$$
4 step solution
Problem 50
Find the \(x\) - and \(y\) -intercepts for each line and use them to graph the line. $$x+y+7=0$$
4 step solution
Problem 51
Find the \(x\) - and \(y\) -intercepts for each line and use them to graph the line. $$2 x+3 y=5$$
4 step solution
Problem 51
Determine whether the lines \(l_{1}\) and \(l_{2}\) are parallel, perpendicular, or neither. \(l_{1}\) goes through \((1,2)\) and \((4,8), l_{2}\) goes through \((0,3)\) and \((2,2)\)
3 step solution
Problem 52
Find the \(x\) - and \(y\) -intercepts for each line and use them to graph the line. $$3 x-4 y=7$$
3 step solution
Problem 52
Determine whether the lines \(l_{1}\) and \(l_{2}\) are parallel, perpendicular, or neither. \(I_{1}\) goes through \((-2,5)\) and \((3,7), l_{2}\) goes through \((8,4)\) and \((13,6)\)
3 step solution
Problem 53
Find the \(x\) - and \(y\) -intercepts for each line and use them to graph the line. $$2 x-3 y=60$$
5 step solution
Problem 53
Determine whether the lines \(l_{1}\) and \(l_{2}\) are parallel, perpendicular, or neither. \(l_{\mathrm{I}}\) goes through \((0,4)\) and \((-1,6), l_{2}\) goes through \((7,7)\) and \((8,9)\)
3 step solution