Question 1

A line passes through the point (4, -2) and has a slope of 5. What is the equation of the line in slope-intercept form?

Accepted Answer

$$y = 5x - 22$$

Question 2

Which of the following is the point-slope form of the equation of a line with slope $$m$$ passing through $$(x_1$, y_1$)$$?

Accepted Answer

$$y - y_1$ = m(x - x_1$)$$

Question 3

Find the equation of the line that passes through the points (1, 3) and (5, 11).

Accepted Answer

$$y = 2x + 1$$

Question 4

A company charges a flat fee of $$20 plus 12 $$per hour for consulting. Which function models the total cost $$C(t)$$ for $$t$$ hours?

Accepted Answer

$$C(t) = 12t + 20$$

Question 5

What is the slope of the line perpendicular to the line $$y = -\frac{1}{3}x + 7$$?

Accepted Answer

$$3$$

Question 6

Find the equation of the line parallel to $$2x - 5y = 10$$ and passing through the point (0, -3).

Accepted Answer

$$y = \frac{2}{5}x - 3$$

Question 7

Given the line $$4x + 2y = 8$$, what is the equation of the line perpendicular to it and passing through (2, 1)?

Accepted Answer

$$y - 1 = 2(x - 2)$$

Question 8

A plumber charges a $$40 service fee plus 60 $$per hour. How much will a 3.5-hour service call cost?

Accepted Answer

$$250$$

Question 9

If a line has the equation $$y = -2x + 8$$, what is its $$y-$$intercept?

Accepted Answer

$$8$$

Question 10

Which of the following best describes the slope of a line that is parallel to the line $$y = 7x - 4$$?

Accepted Answer

$$7$$

Question 11

A taxi company charges $$3.50 as a base fare and 2.25 $$per mile. Write a linear function $$C(m)$$ for the total cost of a ride of $$m$$ miles, and find the cost of a 10-mile ride.

Accepted Answer

$$C(m) = 2.25m + 3.50;\ C(10) = 25.50$$

Question 12

Given two points $$A(3, 5)$$ and $$B(7, 13)$$, what is the slope of the line passing through them?

Accepted Answer

$$2$$

Question 13

A line passes through the point (0, 4) and is perpendicular to the line $$y = 2x - 1. $$What is its equation?

Accepted Answer

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

Question 14

If the equation of a line is $$y = mx + b$$ and it passes through the point $$(a, b)$$, what is the value of $$m if$$ $$a 
eq 0$$?

Accepted Answer

$$m = \frac{b - b}{a - 0}$$

Question 15

A cell phone plan charges $$25$$ per month plus $$0.10$$ per text message. Write a function $$C(t)$$ for the total monthly cost if $$t is $$the number of texts, and find the cost for $$150$$ texts.

Accepted Answer

$$C(t) = 0.10t + 25;\ C(150) = 40$$

Question 16

Which of the following is the correct slope-intercept form for a line with slope $$-4$$ and $$y-$$intercept $$6$$?

Accepted Answer

$$y = -4x + 6$$

Question 17

A line passes through the points $$(2, 8)$$ and $$(6, 0). $$What is its equation in slope-intercept form?

Accepted Answer

$$y = -2x + 12$$

Question 18

A fitness trainer charges a $$50$$ sign-up fee and $$30$$ per session. If a client attends $$8$$ sessions, what is the total cost?

Accepted Answer

$$290$$

Question 19

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

Accepted Answer

Their slopes are negative reciprocals of each other.

Question 20

A line has the equation $$y = 0.5x - 7. $$What is the $$x-$$intercept of this line?

Accepted Answer

$$14$$

Equations of Lines: Slope, Intercept, and Applications (Chapter 7 Study Notes)

Study Guide - Practice Questions

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