Question 1

Which of the following is the standard form of a linear equation in two variables?

Accepted Answer

$$Ax + By = C$$

Question 2

Given the equation $$3x - 2y = 6$$, what is the $$y-$$intercept?

Accepted Answer

$$(0, -3)$$

Question 3

What is the slope of the line passing through the points $$(-2, 3)$$ and $$(1, -8)$$?

Accepted Answer

$$-\displaystyle \frac{11}{3}$$

Question 4

Which equation represents a vertical line?

Accepted Answer

$$x = -4$$

Question 5

Find the slope of the line $$y = 7.$$

Accepted Answer

$$0$$

Question 6

Which of the following lines has an undefined slope?

Accepted Answer

$$x = 3$$

Question 7

What is the average rate of change of the function from $$(-1.5, 0) to$$ $$(0, 2)$$?

Accepted Answer

$$\displaystyle \frac{2}{1.5}$$

Question 8

Which of the following is the point-slope form of the line passing through $$(1.2, -0.4)$$ and $$(0.8, 1.3)$$?

Accepted Answer

$$y + 0.4 = 4.25(x - 1.2)$$

Question 9

Solve for $$x$$: $$0.5x + 1 = 3x - 4.$$

Accepted Answer

Question 10

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

Accepted Answer

Question 11

Which of the following best describes the slope of the line $$x = k$$ where $$k is a $$constant?

Accepted Answer

Undefined

Question 12

Given the equation $$3y - 2x = -6$$, what is the slope of the line?

Accepted Answer

$$\displaystyle \frac{2}{3}$$

Question 13

Which of the following is NOT a form of a linear equation?

Accepted Answer

$$y = mx^2$ + b$$

Question 14

If a line passes through $$(0, 2)$$ and $$(2.5, 1)$$, what is its average rate of change?

Accepted Answer

$$-0.4$$

Question 15

Which of the following equations represents a horizontal line?

Accepted Answer

$$y = 3$$

Question 16

A line has a slope of $$0. $$Which of the following could be its equation?

Accepted Answer

$$y = 4$$

Question 17

Which of the following best describes the slope of the line $$y = k$$ where $$k is a $$constant?

Accepted Answer

Zero

Question 18

If the difference of the $$x-$$values in the slope formula is $$0$$, what can you conclude about the line?

Accepted Answer

The line is vertical and the slope is undefined.

Question 19

Which of the following is the correct formula for the average rate of change of a function $$f$$ from $$x_1 to$$ $$x_2$$?

Accepted Answer

$$\displaystyle \frac{f(x_2$) - f(x_1$)}{x_2$ - x_1$}$$

Question 20

Which of the following best describes the line $$y = mx + b$$ when $$m \u003c 0$$?

Accepted Answer

The line has a negative slope and falls from left to right.

Linear Functions, Slope, and Rate of Change: Study Notes for College Algebra

Study Guide - Practice Questions