Question

What is the slope of the line that passes through the points
(2,−3.5) and (4,5.5)?

Answer 1

The slope of the line passing through the points (2, -3.5) and (4, 5.5) is calculated using the slope formula and is found to be 4.5.

Step-by-step explanation:

The slope of the line that passes through the points (2, -3.5) and (4, 5.5) can be found using the formula m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are the coordinates of the two points.

Applying the formula, the slope m is calculated as follows:

1. First, identify the coordinates of the two points: Point 1 (2, -3.5) and Point 2 (4, 5.5).
2. Calculate the change in y (rise): y2 - y1 = 5.5 - (-3.5) = 5.5 + 3.5 = 9.
3. Calculate the change in x (run): x2 - x1 = 4 - 2 = 2.
4. Divide the change in y by the change in x to get the slope: m = 9 / 2 = 4.5.

Therefore, the slope of the line is 4.5.