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

x
y
Negative one-half
One-fifth
Negative one-fifth
StartFraction 7 Over 50 EndFraction
One-fifth
StartFraction 3 Over 50 EndFraction
One-half
0
y = negative one-half x + StartFraction 1 Over 10 EndFraction
y = negative one-fifth x + one-half
y = one-fifth x minus one-half
y = one-half x minus StartFraction 1 Over 10 EndFraction

23 answers

y = negative one-half x + StartFraction 1 Over 10 EndFraction
What are the slope and the y-intercept of the linear function that is represented by the equation y = negative 10 x + 1?
The slope is –10, and the y-intercept is –1.
The slope is –10, and the y-intercept is 1.
The slope is –1, and the y-intercept is –10.
The slope is 1, and the y-intercept is –10.
The slope is –10, and the y-intercept is 1.
Consider the linear function that is represented by the equation y = 4 x + 5 and the linear function that is represented by the table below.

x
y
2
16
4
26
6
36
8
46

Which statement is correct regarding their slopes and y-intercepts?
The function that is represented by the equation has a steeper slope and a greater y-intercept.
The function that is represented by the equation has a steeper slope, and the function that is represented by the table has a greater y-intercept.
The function that is represented by the table has a steeper slope, and the function that is represented by the equation has a greater y-intercept.
The function that is represented by the table has a steeper slope and a greater y-intercept.
The function that is represented by the equation has a steeper slope, and the function that is represented by the table has a greater y-intercept.
Which graph represents a linear function that has a slope of 0.5 and a y-intercept of 2?
On a coordinate plane, a line goes through points (negative 2, 0) and (0, 1).
On a coordinate plane, a line goes through points (0, 2) and (4, 0).
On a coordinate plane, a line goes through points (0, 2) and (2, 3).
On a coordinate plane, a line goes through points (negative 4, 0) and (0, 2).
On a coordinate plane, a line goes through points (0, 2) and (4, 0).
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.

On a coordinate plane, a line goes through points (0, negative 1) and (2, 0).

Which equation proves Jeremy’s argument is incorrect?
y = negative one-half x minus 1
y = negative one-half x + 1
y = one-half x minus 1
y = one-half x + 1
y = negative one-half x - 1
The slope of the graph of the equation y = 2 x minus 2 is 2. What is the y-intercept?

y-intercept =
The y-intercept is -2.
What are the slope and the y-intercept of the linear function that is represented by the table?

x
y
–3
18
0
12
3
6
6
0

The slope is –2, and the y-intercept is 6.
The slope is –2, and the y-intercept is 12.
The slope is 2, and the y-intercept is 6.
The slope is 2, and the y-intercept is 12.
The slope is -2, and the y-intercept is 12.
A linear function has an x-intercept of 12 and a slope of StartFraction 3 Over 8 EndFraction. How does this function compare to the linear function that is represented by the table?

x
y
Negative two-thirds
Negative three-fourths
Negative one-sixth
Negative StartFraction 9 Over 16 EndFraction
One-third
Negative StartFraction 3 Over 8 EndFraction
StartFraction 5 Over 6 EndFraction
Negative StartFraction 3 Over 16 EndFraction
It has the same slope and the same y-intercept.
It has the same slope and a different y-intercept.
It has the same y-intercept and a different slope.
It has a different slope and a different y-intercept.
It has the same slope and a different y-intercept.
What are the slope and the y-intercept of the linear function that is represented by the table?

x
y
Negative three-fourths
Negative StartFraction 1 Over 30 EndFraction
Negative one-half
Negative StartFraction 2 Over 15 EndFraction
One-fourth
Negative StartFraction 13 Over 30 EndFraction
Two-thirds
Negative three-fifths
The slope is Negative two-fifths, and the y-intercept is Negative one-third.
The slope is Negative one-third, and the y-intercept is Negative two-fifths.
The slope is One-third, and the y-intercept is Negative two-fifths.
The slope is Two-fifths, and the y-intercept is Negative one-third.
The slope is Negative two-fifths, and the y-intercept is Negative one-third.
What are the slope and the y-intercept of the linear function that is represented by the equation y = 9 x minus 2?
The slope is –2, and the y-intercept is 9.
The slope is 2, and they y-intercept is 9.
The slope is 9, and the y-intercept is –2.
The slope is 9, and the y-intercept is 2.
The slope is 9, and the y-intercept is -2.
Which linear function has the same y-intercept as the one that is represented by the graph?

On a coordinate plane, a line goes through points (negative 4, 0) and (0, 3).
y = 2 x minus 4
y = 2 x minus 3
y = 2 x + 3
y = 2 x + 4
y = 2 x + 4
Consider the linear function that is represented by the equation y = negative 10 x + 6 and the linear function that is represented by the equation y minus 36 = 8 (x minus 4). Which statement is correct regarding their slopes and y-intercepts?
A)The function that is represented by the equation y = negative 10 x + 6 has a steeper slope and a greater y-intercept.
B )The function that is represented by the equation y = negative 10 x + 6 has a steeper slope, and the function that is represented by the equation y minus 36 = 8 (x minus 4) has a greater y-intercept.
C)The function that is represented by the equation y minus 36 = 8 (x minus 4) has a steeper slope, and the function that is represented by the equation y = negative 10 x + 6 has a greater y-intercept.
D)The function that is represented by the equation y minus 36 = 8 (x minus 4) has a steeper slope and a greater y-intercept.
B) The function that is represented by the equation y = negative 10 x + 6 has a steeper slope, and the function that is represented by the equation y minus 36 = 8 (x minus 4) has a greater y-intercept.