Question 1

Which axis is represented by the blue arrow in the rectangular coordinate system?

Accepted Answer

$$x-$$axis

Question 2

Given the point $$(-3, 2)$$, in which quadrant of the rectangular coordinate system is it located?

Accepted Answer

Quadrant II

Question 3

Which of the following ordered pairs is a solution to the equation $$x + 2y = 5$$?

Accepted Answer

$$(1, 2)$$

Question 4

Complete the ordered pair $$(2, ule{1cm}{0.15mm}) so $$that it is a solution to $$y = 2x + 3.$$

Accepted Answer

$$7$$

Question 5

What is the $$y-$$intercept of the line $$2x + 3y = 6$$?

Accepted Answer

$$(0, 2)$$

Question 6

Find the slope of the line passing through the points $$(1, 4)$$ and $$(3, 8).$$

Accepted Answer

$$2$$

Question 7

Which of the following equations represents a line with an undefined slope?

Accepted Answer

$$x = -2$$

Question 8

A ladder is leaning against a wall with a slope of $$\frac{3}{4}. If $$the bottom of the ladder is $$8$$ feet from the wall, how high up the wall does the ladder reach?

Accepted Answer

$$6$$ feet

Question 9

Write the equation of a line in slope-intercept form that passes through $$(0, -3)$$ and has a slope of $$2.$$

Accepted Answer

$$y = 2x - 3$$

Question 10

Which of the following pairs of lines are parallel?

Accepted Answer

$$y = 2x + 1$$ and $$y = 2x - 5$$

Question 11

Given the equation $$y - 4 = 2(x + 1)$$, which of the following points lies on the line?

Accepted Answer

$$(0, 6)$$

Question 12

Which of the following is the equation of a line perpendicular to $$y = \frac{1}{2}x - 3$$?

Accepted Answer

$$y = -2x + 1$$

Question 13

Which of the following ordered pairs is a solution to the inequality $$2x + 3y \u003c 6$$?

Accepted Answer

$$(0, 2)$$

Question 14

If a line has a slope of $$0$$, which of the following best describes the line?

Accepted Answer

A horizontal line

Question 15

Given the equation $$y = -3x + 4$$, what is the $$y-$$intercept?

Accepted Answer

$$(0, 4)$$

Question 16

Which of the following best describes the relationship between the lines $$y = 2x + 1$$ and $$y = -\frac{1}{2}x + 3$$?

Accepted Answer

Perpendicular

Question 17

A ride-share company models a driver's weekly earnings with the equation $$P = 8r + 120$$, where $$P is $$the profit in dollars and $$r is $$the number of rides. What does the $$y-$$intercept represent?

Accepted Answer

The profit when no rides are given

Question 18

Which of the following is the correct point-slope form for a line with slope $$-3$$ passing through $$(2, 5)$$?

Accepted Answer

$$y - 5 = -3(x - 2)$$

Question 19

Which of the following is NOT a solution to the equation $$x - y = 4$$?

Accepted Answer

$$(3, 2)$$

Question 20

If the equation of a line is $$y = mx + b$$ and $$m \u003e 0$$, which statement is true about the line?

Accepted Answer

The line rises from left to right

Introduction to the Rectangular Coordinate System and Plotting Points

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