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
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 =