Question 1

Given two points $$A(2, 5)$$ and $$B(6, 13)$$, what is the slope of the line passing through these points?

Accepted Answer

$$2$$

Question 2

Which of the following equations represents a horizontal line?

Accepted Answer

$$y = 4$$

Question 3

A shipping department finds that if 80 packages are shipped, the total expense is $$1680. If 120 packages are shipped, the total expense is 1700. $$What is the equation for total expense $$y in $$terms of number of packages $$x$$?

Accepted Answer

$$y = \frac{1}{2}x + 1640$$

Question 4

What is the practical meaning of the slope in the equation $$y = \frac{1}{2}x + 1640$$ for the shipping department?

Accepted Answer

The expense increases by $0.50 for each additional package shipped.

Question 5

Which of the following lines is perpendicular to the line $$y = 3x + 2$$?

Accepted Answer

$$y = -\frac{1}{3}x + 5$$

Question 6

If a line passes through the point $$(-2, 4)$$ and has a slope of $$-3$$, what is its equation in point-slope form?

Accepted Answer

$$y - 4 = -3(x + 2)$$

Question 7

What is the $$y-$$intercept of the line $$3x + 4y = 24$$?

Accepted Answer

$$6$$

Question 8

Which of the following best describes the slope of a vertical line?

Accepted Answer

Undefined

Question 9

Given the general form of a line $$ax + by + c = 0$$, what is the slope of the line?

Accepted Answer

$$-\frac{a}{b}$$

Question 10

A regression line is best described as:

Accepted Answer

A line that best fits the given data points in a scatter plot.

Question 11

If the equation of a line is $$y = -2x + 7$$, what is the slope and what does it indicate about the line?

Accepted Answer

Slope is $$-2$$, indicating the line is falling as $$x$$ increases.

Question 12

Which of the following is the equation of a line parallel to $$y = \frac{1}{2}x - 3$$ and passing through $$(0, 4)$$?

Accepted Answer

$$y = \frac{1}{2}x + 4$$

Question 13

A line passes through $$(1, 2)$$ and $$(5, 10). $$What is its equation in slope-intercept form?

Accepted Answer

Question 14

If a line has the equation $$y = mx + b$$ and $$m = 0$$, what kind of line is it?

Accepted Answer

A horizontal line

Question 15

Which of the following statements is true about the relationship between the slopes of two perpendicular lines?

Accepted Answer

Their slopes are negative reciprocals of each other.

Question 16

Given the equation $$y - 2 = 4(x + 1)$$, what is the $$y-$$intercept of the line?

Accepted Answer

$$6$$

Question 17

A line has the equation $$x = 5. $$Which of the following is true?

Accepted Answer

It is a vertical line passing through $$x = 5.$$

Question 18

If the total expenses for a shipping department are modeled by $$y = \frac{1}{2}x + 1640$$, what are the expenses when $$x = 100$$ packages are shipped?

Accepted Answer

$$1690$$

Question 19

Which of the following best describes the $$y-$$intercept in a real-world linear model?

Accepted Answer

It is the value of $$y$$ when $$x = 0.$$

Question 20

Given the general form $$2x - 3y + 6 = 0$$, what is the slope of the line?

Accepted Answer

$$-\frac{2}{3}$$

The Slope of a Line and Linear Equations

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