Question

The table of values shows a linear relationship between x and y .

x y
-7 9
-2 1
3 -7
8 -15
#2.
What is the slope of the line represented by the table of values? (HINT: There are two videos below that show how to find slope).
− 8/5
− 5/8
8/5
5/8

Answer 1

[AI-generated answer — Bot GPT 3.5]

To find the slope of the line represented by the table of values, we can use the formula:

Slope = (change in y) / (change in x)

Let's choose two points from the table to calculate the slope. Let's use (-7, 9) and (-2, 1).

Change in y = 1 - 9 = -8
Change in x = -2 - (-7) = 5

Slope = -8 / 5 = -8/5

Therefore, the slope of the line represented by the table of values is -8/5. So the correct answer is:

− 8/5

Answer 2

The table shows the linear relationship between the distance in What is the rate of change of the distance in feet below sea feet below sea level and the time in seconds traveled by a level with respect to time that the submarine traveled? submarine.

Rate of change (slope):
Correct?
Time (seconds)
Distance Below Sea Level (feet)
0
460
18
604
34
732
52
876
70
1 020

Answer 3

[AI-generated answer — Bot GPT 3.5]

To find the rate of change (slope) of the distance below sea level with respect to time traveled by the submarine, we can use the formula:

Rate of change (slope) = (change in distance) / (change in time)

Let's choose two points from the table to calculate the slope. Let's use (0, 460) and (70, 1,020).

Change in distance = 1,020 - 460 = 560 feet
Change in time = 70 - 0 = 70 seconds

Slope = 560 / 70 = 8 feet per second

Therefore, the rate of change of the distance below sea level with respect to time traveled by the submarine is 8 feet per second. So the correct answer is:

8 feet per second

Answer 4

What is the slope of the line?

9/2
7/8
− 9/2
− 7/8

Answer 5

[AI-generated answer — Bot GPT 3.5]

To find the slope of the line, we can use any two points from the table to calculate it. Let's choose the points (-7, 9) and (-2, 1).

Slope = (change in y) / (change in x)
Slope = (1 - 9) / (-2 + 7)
Slope = -8 / 5
Slope = -8/5

Therefore, the slope of the line is -8/5. Therefore, none of the provided options match the correct slope of the line in this case.

Answer 6

The graph of a line passes through the points (-3,1) and (5,8).

What is the slope of the line?
9/2
7/8
− 9/2
− 7/8

Answer 7

[AI-generated answer — Bot GPT 3.5]

To find the slope of the line passing through the points (-3, 1) and (5, 8), we can use the formula:

Slope = (change in y) / (change in x)

Let's substitute the values from the points into the formula:

Slope = (8 - 1) / (5 - (-3))
Slope = 7 / 8

Therefore, the slope of the line passing through the points (-3, 1) and (5, 8) is 7/8.

Therefore, the correct answer is 7/8.

Answer 8

What is the rate of change of y with respect to x for this function?

(-3,3.6)(5,2)

Answer 9

[AI-generated answer — Bot GPT 3.5]

To find the rate of change of y with respect to x for the function given the points (-3, 3.6) and (5, 2), you can use the formula:

Rate of change = (change in y) / (change in x)

Substitute the values from the given points into the formula:

Change in y = 2 - 3.6 = -1.6
Change in x = 5 - (-3) = 5 + 3 = 8

Rate of change = -1.6 / 8 = -0.2

Therefore, the rate of change of y with respect to x for this function is -0.2.