Chapter Review on Linear Relations
Chapter
Chapter 6
Section
Chapter Review on Linear Relations
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Solutions 18 Videos

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

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Q1a

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

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Q1b

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

a) \displaystyle y = -3x + 2

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

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Q2

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

m = -2, b = 3

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Q3a

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

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

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Q3b

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

m = 0, b = 2

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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.

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Q4

Rewrite each equation in the form y = mx + b

2x + y -6 = 0

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Q5a

Rewrite each equation in the form y = mx + b

3x + 5y + 15 = 0

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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?

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Q6

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

\displaystyle 3x - 4y =12

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Q7a

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

\displaystyle 6x - y = 9

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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?

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Q8

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

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Q9

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

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Q10

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

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Q11

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

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Q12

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

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Q13