Algebra Equation Homework Part4

6/8/2018 xyzHomework Assessment

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Name: amanda jones3.5

#1 Points possible: 1. Total attempts: 3

Give the equation of the line with the given slope and y-intercept.

m = , b = 5

y = 5/2x+5

#2 Points possible: 1. Total attempts: 3

Find the slope and y-intercept for the following equation by writing it in the form y = mx + b. Then, graph the equation. − 2x + y = 4 Equation: y = 2x+4

5

2

6/8/2018 xyzHomework Assessment

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#3 Points possible: 1. Total attempts: 3

Find the slope and y-intercept for the following equation by writing it in the form y = mx + b. Then, graph the equation. 3x + 4y = 12 Equation: y =

6/8/2018 xyzHomework Assessment

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#4 Points possible: 1. Total attempts: 3

Find the slope and y-intercept for the following equation by writing it in the form y = mx + b. Then, graph the equation. − 2x − 4y = 8 Equation: y =

#5 Points possible: 1. Total attempts: 3

For the following problem, the slope and one point on a line is given. Use the point-slope form to find the equation of that line. (Write your answer in slope-intercept form.) ( − 3, − 7), m = 2 y = 2x-1

6/8/2018 xyzHomework Assessment

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#6 Points possible: 1. Total attempts: 3

For the following problem, the slope and one point on a line is given. Use the point-slope form to find the equation of that line. (Write your answer in slope-intercept form.)

( − 4, − 3), m = −

y =

#7 Points possible: 1. Total attempts: 3

For the following problem, the slope and one point on a line is given. Use the point-slope form to find the equation of that line. (Write your answer in slope-intercept form.) ( − 1, 2), m = − 3 y =

#8 Points possible: 1. Total attempts: 3

For the following problem, the slope and one point on a line is given. Use the point-slope form to find the equation of that line. (Write your answer in slope-intercept form.) ( − 4, 2), m = 0 y = 0x+2

#9 Points possible: 1. Total attempts: 3

For the following problem, the slope and one point on a line is given. Use the point-slope form to find the equation of that line. ( − 4, 4), m = undefined

y = − 4

y = 4

x = − 4

x = 4

1

2

6/8/2018 xyzHomework Assessment

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#10 Points possible: 1. Total attempts: 3

Find the equation of the line that passes through the pair of points. Write your answer in slope-intercept form. ( − 2, − 7), (2, 5) y = 3x-1

#11 Points possible: 1. Total attempts: 3

Find the equation of the line that passes through the pair of points. Write your answer in slope-intercept form. ( − 2, 5), ( − 1, 3) y =

#12 Points possible: 1. Total attempts: 3

Find the equation of the line that passes through the pair of points. Write your answer in slope-intercept form. (6, − 8), (3, − 6) y =

6/8/2018 xyzHomework Assessment

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#13 Points possible: 1. Total attempts: 3

Find the slope and y-intercept for the line. Then write the equation of the line in slope-intercept form.

1 2 3 4 5 6-1-2-3-4-5-6

1 2 3 4 5 6

-1 -2 -3 -4 -5 -6

Slope = 2 y-intercept = (0, 1 ) Equation: y = 2x+1

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#14 Points possible: 1. Total attempts: 3

Find the slope and y-intercept for the line. Then write the equation of the line in slope-intercept form.

1 2 3 4 5 6-1-2-3-4-5-6

1 2 3 4 5 6

-1 -2 -3 -4 -5 -6

Slope = 4/3 y-intercept = (0, -1 ) Equation: y = (4x)/3-1

#15 Points possible: 1. Total attempts: 3

Find the equation of the line with x-intercept (2, 0) and y-intercept (0, 5). y = (5x)/2x5

#16 Points possible: 1. Total attempts: 3

Find the slope of a line parallel to the line that crosses ( − 2, 2) and the y-intercept is (0, − 3). m =

#17 Points possible: 1. Total attempts: 3

Find the slope of a line parallel to the line that passes through ( − 4, − 3) and ( − 2, − 4). m =

6/8/2018 xyzHomework Assessment

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#18 Points possible: 1. Total attempts: 3

Find the slope of a line perpendicular to the line that passes through ( − 4, − 1) and ( − 2, 3). m =

#19 Points possible: 1. Total attempts: 3

Value of a Copy Machine. Cassandra buys a new color copier for her small business. It will cost $21,000 and will decrease in value each year. The graph below shows the value of the copier after the first 5 years of ownership.

a. How much is the copier worth after 5 years? It will be worth $ 6000 after 5 years. b. After how many years is the copier worth $12,000? It will be worth $12,000 after 3 years. c. Find the slope of this line. The slope of this line is -3000 . d. By how many dollars per year is the copier decreasing in value? The copier decreased $ 3000 in value per year. e. Find the equation of this line where V is the value after t years. V=-3000t+21000