What is the slope between the points (1, 2) and (3, 6)?

What is the slope between the points (1, 2) and (3, 6)?

• A. 1
• B. 2
• C. 4
• D. 3

Answer: (B)

To find the slope between the points (1, 2) and (3, 6), you can use the slope formula, which is calculated as the change in the y-coordinates divided by the change in the x-coordinates. The formula for the slope (m) is: \[ m = \frac{y_2 - y_1}{x_2 - x_1} \] In this case, you can assign the coordinates as follows: - \((x_1, y_1) = (1, 2)\) - \((x_2, y_2) = (3, 6)\) Substituting these values into the slope formula gives: \[ m = \frac{6 - 2}{3 - 1} = \frac{4}{2} = 2 \] This calculation shows that the slope between the two points is 2. The slope indicates that for every 1 unit increase in x, there is a corresponding increase of 2 units in y. The correct answer reflects this calculation, representing a direct relationship in the change of y as compared to the change in x.

To find the slope between the points (1, 2) and (3, 6), you can use the slope formula, which is calculated as the change in the y-coordinates divided by the change in the x-coordinates.

The formula for the slope (m) is:

[ m = \frac{y_2 - y_1}{x_2 - x_1} ]

In this case, you can assign the coordinates as follows:

• ((x_1, y_1) = (1, 2))

• ((x_2, y_2) = (3, 6))

Substituting these values into the slope formula gives:

[ m = \frac{6 - 2}{3 - 1} = \frac{4}{2} = 2 ]

This calculation shows that the slope between the two points is 2. The slope indicates that for every 1 unit increase in x, there is a corresponding increase of 2 units in y.

The correct answer reflects this calculation, representing a direct relationship in the change of y as compared to the change in x.