What is the slope calculated between the points (2, 4) and (6, 8)?

To determine the slope between the points (2, 4) and (6, 8), we use the formula for calculating the slope (m) between two points, which is given by:

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

Here, (x1, y1) = (2, 4) and (x2, y2) = (6, 8). We can substitute the values into the formula:

• y2 = 8

• y1 = 4

• x2 = 6

• x1 = 2

Now, we calculate:

[ m = \frac{8 - 4}{6 - 2} ]

[ m = \frac{4}{4} ]

[ m = 1 ]

Thus, the slope calculated between the points (2, 4) and (6, 8) is 1. This value indicates that for every increase of 1 unit in the x-direction, there is a corresponding increase of 1 unit in the y-direction. This aligned increase corresponds to a line that rises diagonally at a 45-degree angle to the horizontal axis