Chapter 4

Complete: A relation is any set of ____

Explain what it means for x and y to vary directly.

In the equation y= 5x -7, ____ ? is the y-intercept.

Complete: In the ordered pair \((3,0)\) the ____ is the \(x\) -intercept.

Is the \(x\) -axis a horizontal or a vertical line?

An ordered pair that makes an equation in two variables true is called a ____ .

In Exercises \(1-3,\) complete the sentence. Each point in a coordinate plane corresponds to an _____ of real numbers.

Describe the steps you could use to solve the inequality \(-3 y+2>11\)

Complete: The function \(f(x)=6 x\) is a ______ function.

What point is on the graph of every direct variation equation?

Two nonvertical lines are parallel if they have the same ____ ? and different ____ ? .

Complete: In the ordered pair \((0,5)\) the ____ is the \(y\) -intercept.

Is the \(y\) -axis a horizontal or a vertical line?

A linear equation in x and y can be written in ____ form.

In Exercises \(1-3,\) complete the sentence. In the ordered pair (2, 5), the y-coordinate is _____.

Determine whether the inequality is a multi-step inequality. Then explain how you would solve the inequality. $$ d+2>-1 $$

Evaluate the function \(f(x)=-5 x-2\) for the given value of \(x\) $$ x=4 $$

Find the constant of variation. \(y\) varies directly with \(x,\) and \(y=3\) when \(x=27\)

find the slope and y-intercept of the equation. $$y=2 x+1$$

Find the \(x\) -intercept of the graph of the equation. $$ 5 x+4 y=30 $$

Complete: A function of the form \(y=b\) is called a ? function.

Determine whether the ordered pair is a solution of the equation. $$ x-y=-7,(-3,4) $$

In Exercises \(1-3,\) complete the sentence. The x-axis and the y-axis divide the coordinate plane into four ____.

Determine whether the inequality is a multi-step inequality. Then explain how you would solve the inequality. $$ \frac{3}{4} a<0 $$

Find the constant of variation. \(y\) varies directly with \(x,\) and \(y=8\) when \(x=32\)

Plot the points and draw the line that passes through them. Without finding the slope, determine whether the slope is positive, negative, zero, or undefined. $$ (1,5) \text { and }(5,5) $$

find the slope and y-intercept of the equation. $$y=8.5 x$$

Find the \(x\) -intercept of the graph of the equation. $$ y=2 x+20 $$

Graph the equation. $$ y=1 $$

Plot and label the ordered pairs in a coordinate plane. $$ A(4,-1), B(5,0) $$

Determine whether the inequality is a multi-step inequality. Then explain how you would solve the inequality. $$ -4 x \geq-12 $$

Evaluate the function \(f(x)=-5 x-2\) for the given value of \(x\) $$ x=-2 $$

Find the constant of variation. \(r\) varies directly with \(s,\) and \(r=5\) when \(s=35\)

Plot the points and draw the line that passes through them. Without finding the slope, determine whether the slope is positive, negative, zero, or undefined. $$ (-2,-2) \text { and }(0,1) $$

find the slope and y-intercept of the equation. $$5 x-y=3$$

Find the \(x\) -intercept of the graph of the equation. $$ -7 x-3 y=21 $$

Graph the equation. $$ x=-10 $$

Determine whether the ordered pair is a solution of the equation. $$ 4 x-y=23,(5,-3) $$

Plot and label the ordered pairs in a coordinate plane. $$ A(-2,-3), B(-3,-2) $$

Determine whether the inequality is a multi-step inequality. Then explain how you would solve the inequality. $$ 4 y-3<13 $$

Evaluate the function \(f(x)=-5 x-2\) for the given value of \(x\) $$ x=-\frac{1}{5} $$

The variables \(x\) and \(y\) vary directly. Use the given values to write an equation that relates \(x\) and \(y .\) $$ x=1, y=2 $$

Plot the points and draw the line that passes through them. Without finding the slope, determine whether the slope is positive, negative, zero, or undefined. \((4,2)\) and \((4,-1)\)

find the slope and y-intercept of the equation. $$y-x=3$$

Find the \(y\) -intercept of the graph of the equation. $$ 6 x+3 y=51 $$

Graph the equation. $$ y=-5 $$

Determine whether the ordered pair is a solution of the equation. $$ 5 x+3 y=-8,(2,-4) $$

Determine whether the inequality is a multi-step inequality. Then explain how you would solve the inequality. $$ 5 x+12 \leq 62 $$

The variables \(x\) and \(y\) vary directly. Use the given values to write an equation that relates \(x\) and \(y .\) $$ x=5, y=25 $$

Plot the points and draw the line that passes through them. Without finding the slope, determine whether the slope is positive, negative, zero, or undefined. $$ (-3,1) \text { and }(1,-3) $$