Question

What is the slope of the line passing through the points (-2, -6) and (2, 2)?

A) Choice A/ -2
B) Choice B/ -1/2
C) Choice C/ 1/2
D) Choice D/ 2

Answer 1

The slope of the line passing through the points (-2, -6) and (2, 2) is calculated using the slope formula and results in a slope of 2, matching Choice D.

Step-by-step explanation:

The slope of a line passing through two points can be calculated using the formula slope (m) = (y2 - y1) / (x2 - x1). Applying this formula to the given points (-2, -6) and (2, 2), we get:

m = (2 - (-6)) / (2 - (-2))

m = (2 + 6) / (2 + 2)

m = 8 / 4

m = 2

Therefore, the slope of the line is 2, which matches Choice D.