AnswersQ1 Mathematics 8Exploring Slope

Slope-Intercept Form Answers

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Kelsey graphed the equation y = 3x + 1 as shown below.Which describes Kelsey’s error?

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Kelsey graphed the y-intercept on the x-axis.
K
Kelsey graphed –3 instead of 3 as the y-intercept.
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Kelsey graphed the slope as up 1 right 1 instead of up 1 left 1.
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Kelsey graphed the slope as the y-intercept and the y-intercept as the slope.
2
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Which statements accurately describe how to determine the y-intercept and the slope from the graph below?

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To find the y-intercept, begin at the origin and move horizontally to the graphed line. To find the slope, use two ordered pairs on the line and substitute into the equation .
Option T
T
To find the y-intercept, begin at the origin and move horizontally to the graphed line. To find the slope, use two ordered pairs on the line and substitute into the equation .
Option T
T
To find the y-intercept, begin at the origin and move vertically to the graphed line. To find the slope, use two ordered pairs on the line and substitute into the equation .
Option T
T
To find the y-intercept, begin at the origin and move vertically to the graphed line. To find the slope, use two ordered pairs on the line and substitute into the equation .
Option T
3

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

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Locate the ordered pair (0, –6). 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.
L
Locate the ordered pair (0, –6). 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.
L
Locate the ordered pair (–6, 0). 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.
L
Locate the ordered pair (–6, 0). 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.
4

What is the slope and equation of a line through the points (0, 9) and (3, 0)?

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; y = –3x + 9
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; y = –3x + 3
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5

Eric earns a weekly salary and a commission on each item that he sells. The equation y = 10x + 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?

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6

Which is the graph of the linear function that is represented by the equation ?

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7

Adriana writes the equation y = 2x + 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?

y
y = x + 4
y
y = 3x + 4
y
y = 2x + 3
y
y = 2x + 5
8

The estimated total cost, y, of a child’s toy is partially based on the number of batteries used, x. The cost of one battery is $0.75. The toy itself costs $12. Which equation represents the situation?

y
y = 12x + 0.75
y
y = 0.75x + 12
y
y = 12x – 0.75
y
y = 0.75x – 12
9

Which point on the graph represents the y-intercept?

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10

A sand dune stands 5 feet above sea level. The hill is eroding at a rate of 1 foot per 20 years. Let y represent the height of the sand dune after x years. Which equation represents the situation?

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