What is the slope of the line that passes through the points left bracket, minus, 4, comma, 2, right bracket(−4,2) and left bracket, minus, 5, comma, 0, right bracket(−5,0)? 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)
In this case, the points are (-4, 2) and (-5, 0).
m = (0 - 2) / (-5 - (-4))
m = -2 / (-5 + 4)
m = -2 / -1
m = 2
The slope of the line passing through the points (-4, 2) and (-5, 0) is 2.