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
–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.

Which is a characteristic of the line that passes through the points (6, 10) and (12, 7)?

The slope is One-half.
The slope is Negative 2.
The y-intercept is 7.
The y-intercept is 13.

The slope is negative 2.

The value of a collectible coin can be represented by the equation y = 2 x + 9.74, where x represents the number of years that Consuello has owned the coin and y represents the total value, in dollars, of the coin. What was the value of the coin when Consuello originally purchased it?

$4.87
$7.74
$9.74
$19.48

The value of the coin when Consuello originally purchased it is $9.74, which is the y-intercept of the equation.

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

On a coordinate plane, a line goes through points (0, negative 2) and (3, 0).
The slope is Two-thirds, and the y-intercept is –2.
The slope is Two-thirds, and the y-intercept is 3.
The slope is Three-halves, and the y-intercept is –2.
The slope is Three-halves, and the y-intercept is 3.

The slope is 2/3, and the y-intercept is -2.

The graph shows the number of hours that Tammy spends typing for work, x, and the amount of pay that she earns, y.

On a graph titled Tammy's Pay, number of hours is on the x-axis and pay in dollars is on the y-axis. A line goes through points (2, 18) and (8, 42).

What is the slope of the line?
One-fourth
StartFraction 8 Over 17 EndFraction
4
6