Question 1

Which of the following equations represents a linear function?

Accepted Answer

$$y = 2x + 5$$

Question 2

What is the slope of the line passing through the points $$(2, -2)$$ and $$(4, -7)$$?

Accepted Answer

$$-2.5$$

Question 3

Which of the following best describes the graph of $$y = 6$$?

Accepted Answer

A horizontal line passing through $$y = 6$$

Question 4

Given the equation $$y = -0.25x + 3.5$$, what is the $$y-$$intercept?

Accepted Answer

$$3.5$$

Question 5

If a line has the equation $$x = 4$$, what is the slope of the line?

Accepted Answer

Undefined

Question 6

What is the average rate of change of a function between the points $$(1, 3)$$ and $$(5, 11)$$?

Accepted Answer

$$2$$

Question 7

Which of the following is the slope-intercept form of a linear equation?

Accepted Answer

$$y = mx + b$$

Question 8

A cable company charges a $$\40$ installation fee and $$\$$12.5$$ per month for the Titan Plan. Which equation models the total cost $$C$$ for $$n$$ months?

Accepted Answer

$$C = 12.5n + 40$$

Question 9

Find the slope and $$y-$$intercept of the line with equation $$y = -\frac{1}{2}x + 4.$$

Accepted Answer

Slope: $$-\frac{1}{2}$$, $$y-$$intercept: $$4$$

Question 10

If the line passes through $$(1, 2)$$ and $$(3, 6)$$, what is its equation in slope-intercept form?

Accepted Answer

Question 11

Which of the following statements is true about the identity function $$f(x) = x$$?

Accepted Answer

Its graph is a line passing through the origin with slope $$1.$$

Question 12

A bakery has fixed costs of $$\1$$,250$$ and variable costs of $$\$$0.25$$ per cookie. Which equation models the total cost $$C$$ for producing $$x$$ cookies?

Accepted Answer

$$C = 0.25x + 1250$$

Question 13

What is the slope of the line $$y = 2$$?

Accepted Answer

$$0$$

Question 14

If the average rate of change of a function from $$x = 2 to$$ $$x = 5 is$$ $$4$$, and $$f(2) = 3$$, what is $$f(5)$$?

Accepted Answer

$$15$$

Question 15

Which of the following is NOT a linear function?

Accepted Answer

$$y = x^2$ + 1$$

Question 16

What is the $$x-$$intercept of the line $$y = -0.25x + 3.5$$?

Accepted Answer

$$x = 14$$

Question 17

A line passes through $$(0, 5)$$ and has a slope of $$-3. $$What is its equation?

Accepted Answer

$$y = -3x + 5$$

Question 18

If a function has a constant rate of change, what type of function is it?

Accepted Answer

Linear

Question 19

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

Accepted Answer

Undefined

Question 20

If the equation of a line is $$y = mx + b$$ and $$m = 0$$, what does the graph look like?

Accepted Answer

A horizontal line

Linear Functions, Slope, and Applications – Study Notes

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