Chapter 4

Evaluate the function when \(x=2, x=0\) and \(x=-2\) $$ g(x)=-x-6 $$

Find the \(y\) -intercept of the line. $$ y=-3 x+7 $$

Graph the equation. $$ y=-3 x $$

Graph the equation. $$y=2 x-1$$

FINDING SLOPE Find the slope of the line that passes through the points. $$ (-6,-7) \text { and }(-4,-4) $$

Graph the equation. $$ x=\frac{3}{4} $$

Rewrite the equation in function form. $$ 2 x+5 y=-15 $$

Evaluate the function when \(x=2, x=0\) and \(x=-2\) $$ f(x)=5 x+1 $$

Find the \(y\) -intercept of the line. $$ y=13 x+26 $$

Graph the equation. $$ y=-x $$

Graph the equation. $$y=-x+4$$

ZERO OR UNDEFINED SLOPE Determine whether the slope is zero, undefined, or neither. $$ (0,4) \text { and }(-5,7) $$

Graph the equation. $$ x=-\frac{1}{4} $$

Rewrite the equation in function form. $$ 3 x+2 y=-3 $$

Find the \(y\) -intercept of the line. $$ y=6 x-24 $$

Evaluate the function when \(x=2, x=0\) and \(x=-2\) $$ f(x)=-x-3 $$

Graph the equation. $$ y=\frac{1}{2} x $$

Graph the equation. $$y=6-x$$

ZERO OR UNDEFINED SLOPE Determine whether the slope is zero, undefined, or neither. $$ (1,2) \text { and }(1,6) $$

Rewrite the equation in function form. $$ 4 x-y=18 $$

Find the \(y\) -intercept of the line. $$ 3 x-4 y=16 $$

Evaluate the function when \(x=2, x=0\) and \(x=-2\) $$ h(x)=8 x+7 $$

Graph the equation. $$y=3 x+7$$

ZERO OR UNDEFINED SLOPE Determine whether the slope is zero, undefined, or neither. $$ (6,2) \text { and }(9,2) $$

Find three ordered pairs that are solutions of the equation. $$ y=3 x-5 $$

Solve the inequality. $$ 2(x-4) \geq 3 $$

Find the \(y\) -intercept of the line. $$ 2 x-17 y=-51 $$

Evaluate the function when \(x=2, x=0\) and \(x=-2\) $$ f(x)=-4 x+15 $$

Graph the equation. $$y=4 x+4$$

ZERO OR UNDEFINED SLOPE Determine whether the slope is zero, undefined, or neither. $$ (5,-8) \text { and }(3,-8) $$

Find three ordered pairs that are solutions of the equation. $$ y=7-4 x $$

Evaluate the function when \(x=2, x=0\) and \(x=-2\) $$ g(x)=5 x-6 $$

Solve the inequality. $$ \frac{1}{2}(x-8)<2 $$

Graph the line that has the given intercepts. $$ \begin{array}{l} {x \text { -intercept: }-2} \\ {y \text { -intercept: }5} \end{array} $$

Graph the equation. $$y=x+9$$

ZERO OR UNDEFINED SLOPE Determine whether the slope is zero, undefined, or neither. \((8,7)\) and \((14,1)\)

Find three ordered pairs that are solutions of the equation. $$ y=-2 x-6 $$

The table shows the wing length (in millimeters) and the wing-beat rate (in beats per second) for five birds. $$ \begin{array}{|l|c|c|c|c|c|} \hline \text { Bird } & {\text { Flamingo }} & {\text { Shellduck }} & {\text { Velvet Scoter }} & {\text { Fulmar }} & {\text { Great Egret }} \\ \hline \text { Wing length } & {400} & {375} & {281} & {321} & {437} \\ \hline \text { Wing-beat rate } & {24} & {3.0} & {43} & {3.6} & {21} \\ \hline \end{array} $$ Make a scatter plot that shows the wing-beat rates and wing lengths for the five birds. Use the horizontal axis to represent the wing-beat rate.

Solve the inequality. $$ -(2 x+4)>6 $$

Graph the line that has the given intercepts. $$ \begin{array}{l} {x \text { -intercept: }4} \\ {y \text { -intercept: }6} \end{array} $$

Weight varies directly with gravity. With his equipment, Buzz Aldrin weighed 360 pounds on Earth but only 60 pounds on the moon. If Valentina V. Tereshkova had landed on the moon with her equipment and weighed 54 pounds, how much would she have weighed on Earth with her equipment?

Graph the equation. $$y=\frac{2}{3} x$$

ZERO OR UNDEFINED SLOPE Determine whether the slope is zero, undefined, or neither. \((3,10)\) and \((3,5)\)

Find three ordered pairs that are solutions of the equation. $$ x+2 y=8 $$

Graph the line that has the given intercepts. $$ \begin{array}{l} {x \text { -intercept: }-7} \\ {y \text { -intercept: }-3} \end{array} $$

The number of words typed varies directly with the time spent typing. If a typist can type 275 words in 5 minutes, how long will it take the typist to type a 935-word essay?

Write the equation in slope-intercept form. Then graph the equation. $$x+y=0$$

Which point does not lie on the graph of \(y=3 ?\) A. \((0,3)\) B. \((-3,3)\) C. \((3,-3)\) D. \(\left(\frac{1}{3}, 3\right)\)

Find three ordered pairs that are solutions of the equation. $$ 2 x+3 y=9 $$

The table shows the wing length (in millimeters) and the wing-beat rate (in beats per second) for five birds. $$ \begin{array}{|l|c|c|c|c|c|} \hline \text { Bird } & {\text { Flamingo }} & {\text { Shellduck }} & {\text { Velvet Scoter }} & {\text { Fulmar }} & {\text { Great Egret }} \\ \hline \text { Wing length } & {400} & {375} & {281} & {321} & {437} \\ \hline \text { Wing-beat rate } & {24} & {3.0} & {43} & {3.6} & {21} \\ \hline \end{array} $$ INTERPRETING DATA Describe the relationship between the wing length and the wing-beat rate for the five birds.