Answers2026 Summer 305 Edgenuity CR_Grade 8 Pre-Algebra_MathComparing Slopes and Intercepts

Comparing Slopes and Intercepts Answers

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Consider the linear function that is represented by the equation and the linear function that is represented by the graph below. Which statement is correct regarding their slopes and y-intercepts?

Question illustration
A
The function that is represented by the equation has a steeper slope and a greater y-intercept.
B
The function that is represented by the equation has a steeper slope, and the function that is represented by the graph has a greater y-intercept.
C
The function that is represented by the graph has a steeper slope, and the function that is represented by the equation has a greater y-intercept.
D
The function that is represented by the graph has a steeper slope and a greater y-intercept.
2
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Which table represents a linear function that has a slope of 5 and a y-intercept of 20?

A
A 2-column table with 4 rows. Column 1 is labeled x with entries negative 4, 0, 4, 8. Column 2 is labeled y with entries 0, 20, 40, 60.
Option A
B
A 2-column table with 4 rows. Column 1 is labeled x with entries negative 4, 0, 4, 8. Column 2 is labeled y with entries 0, negative 20, negative 40, negative 60.
Option B
C
A 2-column table with 4 rows. Column 1 is labeled x with entries 0, 20, 40, 60. Column 2 is labeled y with entries negative 4, 0, 4, 8.
Option C
D
A 2-column table with 4 rows. Column 1 is labeled x with entries negative 60, negative 40, negative 20, 0. Column 2 is labeled y with entries 8, 4, 0, negative 4.
Option D
3

What are the slope and the y-intercept of the linear function that is represented by the graph?

Question illustration
A
The slope is , and the y-intercept is 3.
Option A
B
The slope is , and the y-intercept is 4.
Option B
C
The slope is , and the y-intercept is 3.
Option C
D
The slope is , and the y-intercept is 4.
Option D
4

Which linear function has the same y-intercept as the one that is represented by the graph?

Question illustration
A
A 2-column table with 4 rows. Column 1 is labeled x with entries negative 3, negative 1, 1, 3. Column 2 is labeled y with entries negative 4, 2, 8, 14.
Option A
B
A 2-column table with 4 rows. Column 1 is labeled x with entries negative 4, negative 2, 2, 4. Column 2 is labeled y with entries negative 26, negative 18, negative 2, 6.
Option B
C
A 2-column table with 4 rows. Column 1 is labeled x with entries negative 5, negative 3, 3, 5. Column 2 is labeled y with entries negative 15, negative 11, 1, 5.
Option C
D
A 2-column table with 4 rows. Column 1 is labeled x with entries negative 6, negative 4, 4, 6. Column 2 is labeled y with entries negative 26, negative 14, 34, 46.
Option D
5

Which linear function has the greatest y-intercept?

A
y = 6 x + 1
Option A
B
On a coordinate plane, a line goes through points (0, 2) and (5, 0).
Option B
C
On a coordinate plane, a line goes through points (1, 2) and (0, negative 3).
Option C
D
y = 3 x + 4
Option D
6

Jeremy claims that if a linear function has a slope of the same steepness and the same y-intercept as the linear function in the graph, then it must be the same function. Which equation proves Jeremy’s argument is incorrect?

Question illustration
A
y = negative one-half x minus 1
Option A
B
y = negative one-half x + 1
Option B
C
y = one-half x minus 1
Option C
D
y = one-half x + 1
Option D
7

A linear function has an y-intercept of and a slope of . How does this function compare to the linear function that is represented by the table?xy

Question illustration
A
It has the same slope and the same y-intercept.
B
It has the same slope and a different y-intercept.
C
It has the same y-intercept and a different slope.
D
It has a different slope and a different y-intercept.
8

Which linear function has the steepest slope?

A
y = negative 8 x + 5
Option A
B
y minus 9 = negative 2 (x + 1)
Option B
C
y = 7 x minus 3
Option C
D
y + 2 = 6 (x + 10)
Option D
9

What are the slope and the y-intercept of the linear function that is represented by the table?xy–3180123660

A
The slope is –2, and the y-intercept is 6.
B
The slope is –2, and the y-intercept is 12.
C
The slope is 2, and the y-intercept is 6.
D
The slope is 2, and the y-intercept is 12.
10

Which linear function has the same slope as the one that is represented by the table?xy0

Question illustration
A
y = negative one-half x + StartFraction 1 Over 10 EndFraction
Option A
B
y = negative one-fifth x + one-half
Option B
C
y = one-fifth x minus one-half
Option C
D
y = one-half x minus StartFraction 1 Over 10 EndFraction
Option D

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