Question

What is the slope of the line that passes through the points left bracket, minus, 8, comma, 2, right bracket(−8,2) and left bracket, minus, 11, comma, 3, right bracket(−11,3)? Write your answer in simplest form.
Answer

Answer 1

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

slope = (y2 - y1)/(x2 - x1)

Using the given points, the slope is:
slope = (3 - 2)/(-11 - (-8))
slope = (3 - 2)/(-11 + 8)
slope = 1/(-3)
slope = -1/3

So, the slope of the line passing through the points (-8,2) and (-11,3) is -1/3.