Find the slope of a line that passes through (-10, -1) and (5, -4).
A. −15
B. 13
C. 1
D. -3
The formula to find the slope of a line passing through two points (x1, y1) and (x2, y2) is:
slope = (y2 - y1) / (x2 - x1)
Using the given points (-10, -1) and (5, -4), we can substitute the values into the slope formula:
slope = (-4 - (-1)) / (5 - (-10))
= (-4 + 1) / (5 + 10)
= -3 / 15
Therefore, the slope of the line passing through (-10, -1) and (5, -4) is -3/15.
Simplified, this slope is equal to -1/5.
Therefore, the correct answer is D. -3.