What is the slope of the line that passes through the points -2,2 and -4,-1 Write your answer in a simplest form
The slope of a line passing through two points (x₁, y₁) and (x₂, y₂) can be found by using the formula:
slope = (y₂ - y₁) / (x₂ - x₁)
In this case, the points are (-2, 2) and (-4, -1), so we can substitute their coordinates into the formula:
slope = (-1 - 2) / (-4 - (-2))
simplifying,
slope = (-1 - 2) / (-4 + 2)
slope = (-3) / (-2)
Since both the numerator and denominator are negative and -3/-2 is equal to 3/2, the slope in simplest form is 3/2.