Find the slope of a line that passes through (-10, -1) and (5, -4)

A − 1/5

B 1/3

C 1

D -3

1 answer

The slope of a line passing through two points (x₁, y₁) and (x₂, y₂) is given by the formula:

slope = (y₂ - y₁) / (x₂ - x₁)

In this case, the points are (-10, -1) and (5, -4), so we can substitute the coordinates into the formula:

slope = (-4 - (-1)) / (5 - (-10))
slope = (-4 + 1) / (5 + 10)
slope = -3 / 15

Simplified, the slope is -1/5.

Therefore, the correct answer is A) -1/5.