Question

What is the slope of the line through (−5,−10) and (−1,5)?

a) 3.75
b) 2.5
c) -3.75
d) -2.5

Answer 1

The slope of the line through the points (–5,–10) and (–1,5) is 3.75, which denotes a positive slope. Therefore, the correct answer is a) 3.75.

Step-by-step explanation:

The slope of a line passing through two points can be found using the formula slope = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are the coordinates of the two points. For the points given, –(5,–10) and (–1,5), we substitute into the formula: slope = (5 - (–10)) / (–1 - (–5)) = 15 / 4 = 3.75. Therefore, the correct answer is a) 3.75, indicating a positive slope. The slope represents the rate of change between the two points on the line. In this case, it indicates how much the line rises for each unit increase in the horizontal direction.