What is the slope of the line that passes through the points (−4,4) (−1,3)? Write your answer in simplest form.
The slope of a line passing through two points (x₁, y₁) and (x₂, y₂) can be calculated using the formula:
m = (y₂ - y₁) / (x₂ - x₁)
For the given points (-4,4) and (-1,3), the slope is:
m = (3 - 4) / (-1 - (-4))
= (3 - 4) / (-1 + 4)
= -1 / 3
Therefore, the slope of the line passing through the points (-4,4) and (-1,3) is -1/3.