Question

Find the slope of a line that passes through (-2,-3) and (1,1)

Answer 1

The slope of a line passing through two points (x₁, y₁) and (x₂, y₂) can be calculated using the following formula:

slope = (y₂ - y₁) / (x₂ - x₁)

Given that the points are (-2, -3) and (1, 1), we can substitute the values into the formula:

slope = (1 - (-3)) / (1 - (-2))

This simplifies to:

slope = 4 / 3

Therefore, the slope of the line passing through (-2, -3) and (1, 1) is 4/3.