Chapter Review on Linear Relations
Chapter
Chapter 6
Section
Chapter Review on Linear Relations
You need to sign up or log in to purchase.
You need to sign up or log in to purchase.
Solutions 23 Videos

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

Buy to View
Q1a

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

Buy to View
Q1b

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

a) \displaystyle y = -3x + 2 

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

Buy to View
Q2

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

m = -2, b = 3

Buy to View
Q3a

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

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

Buy to View
Q3b

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

m = 0, b = 2

Buy to View
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.

Buy to View
Q4

Rewrite each equation in the form y = mx + b

2x + y -6 = 0

Buy to View
Q5a

Rewrite each equation in the form y = mx + b

3x + 5y + 15 = 0

Buy to View
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?

Buy to View
Q6

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

\displaystyle 3x - 4y =12 

Buy to View
Q7a

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

\displaystyle 6x - y = 9 

Buy to View
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.

a) If Cindy buys only hamburgers, how many can she buy?

b) If she buys only pop, how many can she buy?

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

Buy to View
Q8

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

Buy to View
Q9

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

Buy to View
Q10

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

Buy to View
Q11

Find an equation for a line parallel to 3x - 4y = 12, with an x-intercept of 6.

Buy to View
Q12

Find an equation for a line perpendicular to y = 2x - 3, passing through the origin.

Buy to View
Q13