AnswersMathematics 8Slope-Intercept Form

Slope-Intercept Form — Quiz Answers

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1
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Carey correctly graphs a linear function. The slope of the function is negative 1 The y -intercept is 3 Which is Carey’s graph?

A
Image with description On a coordinate plane, the x and y axes ranges from negative 5 to 5 in increments of 1. A straight line passes through the points (negative 1 comma negative 4), (0 comma negative 1) and (1 comma 2).
B
Image with description On a coordinate plane, the x and y axes ranges from negative 5 to 5 in increments of 1. A straight line passes through the points (negative 1 comma 2), (0 comma negative 1) and (1 comma negative 4).
C
Image with description A four-quadrant graph has an x-axis that goes from negative 5 to 5 by ones. The y-axis goes from negative 5 to 5 by ones. A line passes through (negative 3 comma 0) and (0 comma 3).
D
Image with description On a coordinate plane, the x and y axes ranges from negative 5 to 5 in increments of 1. A straight line passes through the points (0 comma 3) and (3 comma 0).
2
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Adriana writes the equation y is equal to 2 x plus 4 to represent a line on a graph. Henry writes an equation that has a y -intercept that is 1 unit lower on the graph but has the same slope as Adriana’s line. Which is Henry’s equation?

A
y is equal to 2 x plus 5
B
y is equal to 3 x plus 4
C
y is equal to x plus 4
D
y is equal to 2 x plus 3
3

Eric earns a weekly salary and a commission on each item that he sells. The equation y is equal to 10 x plus 50 represents the amount of money that Eric earns weekly. Bailey earns a greater weekly salary than Eric but the same commission rate. Which graph could represent the amount of money that Bailey earns weekly, y , based on the number of items sold, x ?

A
Image with description A first-quadrant graph is titled Bailey's Weekly Earnings. The x-axis goes from 0 to 10 by ones and is labeled Items Sold. The y-axis goes from 0 to 250 by twenty-fives and is labeled Total Earned. A line passes through a point at (0 comma 75), a point at (5 comma 125), and a point at (10 comma 175).
B
Image with description A Cartesian coordinate graph shows a linear relationship on a grid. The vertical axis is labeled "Total earned" and y, with grid lines at 25-unit intervals and labeled values of 25, 75, 125, 175, 225, and 250. The horizontal axis is labeled "Items sold" and x, with grid lines at 1-unit intervals and labeled values of 1, 3, 5, 7, 9, and 11. A straight line with an arrowhead at the upper-right end rises from left to right, indicating a constant rate of increase. Solid circular markers on the line are located at (0 comma 75), (1 comma 100), (2 comma 125), (3 comma 150), (4 comma 175), (5 comma 200), and (6 comma 225).
C
Image with description A first-quadrant graph is titled Bailey's Weekly Earnings. The x-axis goes from 0 to 10 by ones and is labeled Items Sold. The y-axis goes from 0 to 250 by twenty-fives and is labeled Total Earned. A line passes through the points (0 comma 50), (5 comma 100), and (10 comma 150).
D
Image with description A Cartesian coordinate graph shows a linear relationship on a grid. The horizontal x-axis ranges from 0 to 12, with labeled tick marks at 1, 3, 5, 7, 9, and 11. The vertical y-axis ranges from 0 to 250, with labeled tick marks every 50 units, including 25, 75, 125, 175, 225, and 250. A straight line with an arrowhead at the upper-right end rises from left to right. Solid circular markers on the line are located at (0 comma 50), (1 comma 75), (2 comma 100), (3 comma 125), (4 comma 150), (5 comma 175), (6,200), and (7,225).
4

At breakfast, a restaurant charges $2 for the first cup of orange juice and then $1 for each refill. Which graph represents this situation?

A
Image with description First-quadrant line graph titled Orange Juice. The horizontal axis is labeled Number of refills and the vertical axis is labeled Total cost. Both axes range from 0 to 10 in increments of 1. The visible x-axis labels are 1, 3, 5, 7, and 9. The visible y-axis labels are 1, 3, 5, 7, and 9. A line with an arrow begins at (0 comma 1) and passes through (1 comma 3), (2 comma 5), (3 comma 7), and (4 comma 9) before continuing upward to the right.
B
Image with description First-quadrant line graph titled Orange Juice. The horizontal axis is labeled Number of refills and the vertical axis is labeled Total cost. Both axes range from 0 to 10 in increments of 1. The visible x-axis labels are 2, 4, 6, and 8. The visible y-axis labels are 2, 4, 6, 8, and 10. A line with an arrow begins at (0 comma 2) and passes through (1 comma 4), (2 comma 6), (3 comma 8), and (4 comma 10) before continuing upward to the right.
C
Image with description First-quadrant line graph titled Orange Juice. The horizontal axis is labeled Number of refills and the vertical axis is labeled Total cost. Both axes range from 0 to 10 in increments of 1. The visible x-axis labels are 1, 3, 5, 7, and 9. The visible y-axis labels are 1, 3, 5, 7, and 9. A line with an arrow begins at (0 comma 1) and passes through (2 comma 3), (4 comma 5), (6 comma 7), and (8 comma 9) before continuing upward to the right.
D
Image with description First-quadrant line graph titled Orange Juice. The horizontal axis is labeled Number of refills and the vertical axis is labeled Total cost. Both axes range from 0 to 10 in increments of 1. The visible x-axis labels are 2, 4, 6, and 8. The visible y-axis labels are 2, 4, 6, 8, and 10. A line with an arrow begins at (0 comma 2) and passes through (2 comma 4), (4 comma 6), (6 comma 8), and (8 comma 10) before continuing upward to the right.
5

Samantha’s parents give her $10 per week. For each chore that she does not complete, she must repay her parents $1. Which graph models Samantha’s allowance?

A
Image with description A line graph on a Cartesian coordinate plane showing a linear relationship. The horizontal axis is labeled x and 'Chores not completed,' with tick marks from 1 to 5. The vertical axis is labeled y and 'Amount earned,' with tick marks at 4, 8, 12, 16, and 20. A straight line with arrowheads at both ends slopes upward from left to right, passing through the origin (0 comma 0) and the point (1 comma 10), and extending beyond the top of the graph.
B
Image with description A line graph on a Cartesian coordinate plane showing a linear relationship. The horizontal axis is labeled 'Chores not completed,' with tick marks at intervals of 2 from 2 to 10. The vertical axis is labeled 'Amount earned,' with tick marks from 2 to 10 at intervals of 1. A straight line with arrowheads at both ends slopes downward from left to right, passing through the y-intercept at (0 comma 10) and the x-intercept at (10 comma 0).
C
Image with description A line graph on a Cartesian coordinate plane showing a linear relationship. The horizontal axis is labeled x and 'Chores not completed,' with tick marks from 1 to 5. The vertical axis is labeled y and 'Amount earned,' with tick marks at 2, 4, 6, 8, and 10. A straight line with arrowheads at both ends slopes downward from left to right, passing through the y-intercept at (0 comma 10) and the x-intercept at (1 comma 0).
D
Image with description A line graph on a Cartesian coordinate plane showing a linear relationship. The horizontal axis is labeled x and 'Chores not completed,' with tick marks at 2, 6, 10, 14, and 18. The vertical axis is labeled y and 'Amount earned,' with tick marks at 2, 6, 10, 14, and 18. A straight line with arrowheads at both ends slopes upward from left to right, passing through the y-intercept at (0 comma 10) and the point (10 comma 20).
6

The slope of a line is 2 The y -intercept of the line is negative 6 Which statements accurately describe how to graph the function?

A
Locate the ordered pair open paren 0 comma negative 6 close paren . From that point on the graph, move up 2 , left 1 to locate the next ordered pair on the line. Draw a line through the two points.
B
Locate the ordered pair open paren 0 comma negative 6 close paren . From that point on the graph, move up 2 , right 1 to locate the next ordered pair on the line. Draw a line through the two points.
C
Locate the ordered pair open paren negative 6 comma 0 close paren . From that point on the graph, move up 2 , left 1 to locate the next ordered pair on the line. Draw a line through the two points.
D
Locate the ordered pair open paren negative 6 comma 0 close paren . From that point on the graph, move up 2 , right 1 to locate the next ordered pair on the line. Draw a line through the two points.
7

Which linear equation has a slope of 3 and a y -intercept of negative 2 ?

A
y is equal to 3 x plus 2
B
y is equal to negative 2 x minus 3
C
y is equal to negative 2 x plus 3
D
y is equal to 3 x minus 2
8

A teacher has a 2 -gallon ( 32 -cup) container of juice. She gives each student 1 half cup of juice. Which equation represents the amount of juice that remains, y , after x students are served?

A
y is equal to 1 half x minus 32
B
y is equal to negative 1 half x plus 32
C
y is equal to negative 32 x plus 1 half
D
y is equal to 32 x minus 1 half
9

Which is the graph of the linear function that is represented by the equation y is equal to 1 half x minus 2 ?

A
Image with description Coordinate plane with x- and y-axes labeled. The x-axis and y-axis range from negative 5 to 5 in increments of 2. A line with arrowheads at both ends passes through (0 comma negative 2), (1 comma 0), and (3 comma 4).
B
Image with description Coordinate plane with x- and y-axes labeled. The x-axis and y-axis range from negative 5 to 5 in increments of 2. A line with arrowheads at both ends passes through (negative 2 comma 0), (0 comma 1), and (4 comma 3).
C
Image with description A four-quadrant graph has an x-axis that goes from negative 5 to 5 by ones. The y-axis goes from negative 5 to 5 by ones. A line passes through (0 comma negative 2) and (4 comma 0).
D
Image with description Coordinate plane with x- and y-axes labeled. The x-axis and y-axis range from negative 5 to 5 in increments of 2. A line with arrowheads at both ends passes through (negative 1 comma 0), (0 comma 2), and (1 comma 4).
10

The equation y is equal to negative 1 over 20 x plus 10 represents the gallons of gasoline that remain in Michelle’s car after she drives x miles. Which graph represents this equation?

A
Image with description A first-quadrant line graph titled Driving. The horizontal axis is labeled Total miles traveled and shows tick marks every 20 miles with visible labels at 20, 60, 100, 140, and 180. The vertical axis is labeled Gallons of gasoline and shows tick marks every 2 gallons with visible labels at 2, 6, 10, 14, and 18. A decreasing line segment begins at (0 comma 11) and ends at (200 comma 3).
B
Image with description A first-quadrant line graph titled Driving. The horizontal axis is labeled Total miles traveled and shows tick marks every 25 miles with visible labels at 25, 75, 125, 175, and 225. The vertical axis is labeled Gallons of gasoline and shows tick marks every 2 gallons with visible labels at 2, 6, 10, 14, and 18. A decreasing line segment begins at (0 comma 10) and ends at (150 comma 0).
C
Image with description A first-quadrant line graph titled Driving. The horizontal axis is labeled Total miles traveled and shows tick marks every 20 miles with visible labels at 20, 60, 100, 140, and 180. The vertical axis is labeled Gallons of gasoline and shows tick marks every 2 gallons with visible labels at 2, 6, 10, 14, and 18. A decreasing line segment begins at (0 comma 10) and ends at (200 comma 0).
D
Image with description A first-quadrant line graph titled Driving. The horizontal axis is labeled Total miles traveled and shows tick marks every 25 miles with visible labels at 25, 75, 125, 175, and 225. The vertical axis is labeled Gallons of gasoline and shows tick marks every 2 gallons with visible labels at 2, 6, 10, 14, and 18. A decreasing line segment begins at (0 comma 12) and ends at (240 comma 0).

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