Question

Given points: (x1, y1) = (-2, 3) and (x2, y2) = (4.5, 6)

a. 0.75
b. 1
c. 1.25
d. 1.5

Answer 1

The slope of the line passing through Point 1: (1, 0.1) and Point 2: (7, 26.8) is approximately 4.5. By applying the slope formula, we calculate the change in y over the change in x, resulting in 4.45, which rounds to the closest given option of 4.5.

Step-by-step explanation:

To find the slope of a line passing through two given points, you can use the formula:

m = (y2 - y1) / (x2 - x1)

For Point 1: (1, 0.1) and Point 2: (7, 26.8), the slope calculation is as follows:

m = (26.8 - 0.1) / (7 - 1)

m = 26.7 / 6

m = 4.45 (approximately)

Therefore, the most accurate choice from the given options would be b. 4.5, representing the approximate slope of the line passing through the two points.