Chapter Review on Linear Relations
Chapter
Chapter 6
Section
Chapter Review on Linear Relations
Solutions 23 Videos

Identify the slope and the y-intercept of the line.

Q1a

Identify the slope and the y-intercept of the line.

Q1b

Identify the slope and the y-intercept of each line.

a) \displaystyle y = -3x + 2 

b) \displaystyle y = \frac{3}{5}x -1 

Q2

Write the equation of a line with the given slope and y-intercept. Then, graph the line.

m = -2, b = 3

Q3a

Write the equation of a line with the given slope and y-intercept. Then, graph the line.

m = \frac{2}{3}, b = -4

Q3b

Write the equation of a line with the given slope and y-intercept. Then, graph the line.

m = 0, b = 2

Q3c

The distance-time graph illustrates a person’s movements in front of a motion sensor.

a) Identify the slope and the d-intercept. Explain what they mean.

b) Write an equation in the form \displaystyle d = mt +b  that describes the walker’s motion.

Q4

Rewrite each equation in the form y = mx + b

2x + y -6 = 0

Q5a

Rewrite each equation in the form y = mx + b

3x + 5y + 15 = 0

Q5b

A plumber charges according to the equation 60n - C + 90 = 0, where C is the total charge, in dollars, for a house call, and n is the time, in hours, the job takes.

a) Rearrange the equation to express it in the form C = mn + b.

b) Identify the slope and the C-intercept and explain what they mean.

c) Graph the relation.

d) What would a 3-h house call cost?

Q6

Determine the x- and y-intercepts of each line. Then, graph the line.

\displaystyle 3x - 4y =12 

Q7a

Determine the x- and y-intercepts of each line. Then, graph the line.

\displaystyle 6x - y = 9 

Q7b

Cindy is at a baseball game with her younger brother, Mike. She has $18 to spend on hamburgers and pop. Hamburgers cost$3 each and pop cost \$2 each.

c) The equation 2x + 3y = 18 can used to model this problem. Graph this line. What other combinations can Cindy buy?

Q8

Explain how the slopes of parallel lines are related. Create an example to support your explanation.

Q9

Explain how the slopes of perpendicular lines are related. Create an example to support your explanation.

Q10

Find an equation for a line with a slope of \frac{2}{3}, passing through (1, -4).

Find an equation for a line parallel to 3x - 4y = 12, with an x-intercept of 6.
Find an equation for a line perpendicular to y = 2x - 3, passing through the origin.