Question 1

Given the equation $$y = \frac{1}{2}x + 3$$, what is the slope of the line?

Accepted Answer

$$\frac{1}{2}$$

Question 2

Which of the following is the $$y-$$intercept of the line $$y = -2x + 5$$?

Accepted Answer

$$5$$

Question 3

If a line passes through the points $$(2, 3)$$ and $$(4, 7)$$, what is the slope of the line?

Accepted Answer

$$2$$

Question 4

What is the equation of a line with slope $$-3$$ and $$y-$$intercept $$4$$?

Accepted Answer

$$y = -3x + 4$$

Question 5

A line passes through $$(0, -2)$$ and $$(4, 6). $$What is its equation in slope-intercept form?

Accepted Answer

$$y = 2x - 2$$

Question 6

Which of the following points lies on the line $$y = \frac{3}{4}x - 1$$?

Accepted Answer

$$(4, 2)$$

Question 7

If the equation of a line is $$y = -x + 3$$, what is the $$x-$$intercept?

Accepted Answer

$$(3, 0)$$

Question 8

A line has the equation $$y = 2x - 5. $$What is the value of $$y$$ when $$x = 3$$?

Accepted Answer

Question 9

Which equation represents a line parallel to $$y = -\frac{1}{2}x + 7$$?

Accepted Answer

$$y = -\frac{1}{2}x - 3$$

Question 10

A real-world scenario: A taxi charges a flat fee of $$\4$ plus $$\$$2$$ per mile. Which equation models the total cost $$C$$ for $$m$$ miles?

Accepted Answer

$$C = 2m + 4$$

Question 11

If a line passes through $$(1, 2)$$ and has a slope of $$3$$, what is its equation?

Accepted Answer

$$y = 3x - 1$$

Question 12

Which of the following is the equation of a line perpendicular to $$y = 2x + 1$$?

Accepted Answer

$$y = -\frac{1}{2}x + 3$$

Question 13

A student claims the slope of the line passing through $$(0, 0)$$ and $$(5, 10) is$$ $$\frac{1}{2}. Is $$this correct?

Accepted Answer

No, the correct slope is $$2$$

Question 14

If the equation of a line is $$y = -4x + 8$$, what is the $$y-$$intercept?

Accepted Answer

$$8$$

Question 15

Which of the following equations is in slope-intercept form?

Accepted Answer

$$y = 5x - 2$$

Question 16

A line has the equation $$y = \frac{2}{3}x - 1. $$What is the value of $$x$$ when $$y = 5$$?

Accepted Answer

$$x = 9$$

Question 17

Which of the following lines is steeper: $$y = 4x + 1 or$$ $$y = \frac{1}{2}x - 3$$?

Accepted Answer

$$y = 4x + 1$$

Question 18

A line passes through $$(2, 5)$$ and $$(6, 13). $$What is its equation in slope-intercept form?

Accepted Answer

$$y = 2x + 1$$

Question 19

If a line has a slope of $$0$$, what is the equation of the line passing through $$(3, 7)$$?

Accepted Answer

$$y = 7$$

Question 20

A company charges $$\50$ for a service plus $$\$$10$$ per hour. Which equation models the total cost $$C$$ for $$h$$ hours?

Accepted Answer

$$C = 10h + 50$$

Beginning Algebra: Graphing and Analyzing Linear Equations

Study Guide - Practice Questions