Question

What is the slope of a line that includes the points (-4, 1) and (10, -6)?

a) 2
b) 1/2
c) -1/2
d) 6/7

Answer 1

The slope of the line through the points (-4, 1) and (10, -6) is determined by the change in y over the change in x and is equal to -1/2.

Step-by-step explanation:

The slope of a line that passes through two given points can be determined by using the formula Δy/Δx, which represents the change in y divided by the change in x between the two points. Applying this to the points (-4, 1) and (10, -6), the change in y (rise) is -6 - 1 = -7 and the change in x (run) is 10 - (-4) = 14. So, the slope (m) can be calculated as m = -7/14 which simplifies to m = -1/2.