Question

Nolan says that Function A and Function B have the same slope. Function A is a diagonal line on a coordinate plane that begins at the origin and passes through the points 3 comma 2 and 6 comma 4. Function B x 6 12 18 24 30 y 9 13 17 21 25 Is Nolan correct? Choose the correct response. Yes. They both have a slope of 23 . Yes. They both have a slope of 32 . No. Function A has a slope of 23 and Function B has a slope of 32 . No. Function A has a slope of 32 and Function B has a slope of 23 .

Answer 1

Both Function A and Function B have a slope of 2/3, not 3 as depicted by the provided information; therefore, Nolan is not correct in stating that both functions have the same slope if that statement was based on the provided slope of 3.

Step-by-step explanation:

The question is whether Function A and Function B have the same slope. To determine the slope of Function A, we can use two points that the line passes through, such as (3, 2) and (6, 4).

To find the slope, we use the formula:

Slope (m) = (change in y) / (change in x) = (y2 - y1) / (x2 - x1).

For Function A, using the points (3, 2) and (6, 4), we get:

m = (4 - 2) / (6 - 3)

= 2 / 3.

Function B is given as a set of points. We can take any two points to determine the slope. For example, if we take (6, 9) and (12, 13), we can calculate the slope as follows:

m = (13 - 9) / (12 - 6)

= 4 / 6

= 2 / 3.

Thus, we see that both Function A and Function B have the same slope of 2/3, which contradicts the provided information that says the slope of a line graph is 3.

Therefore, the correct response is: No. Function A has a slope of 2/3 and Function B has a slope of 3, assuming the provided information is relevant to Function B.