Find the slope of the line through (-2, 6) and (3, 14).

Answer 1

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

m = (y₂ - y₁) / (x₂ - x₁)

In this case, we have (x₁, y₁) = (-2, 6) and (x₂, y₂) = (3, 14). Plugging in the values into the formula, we can calculate:

m = (14 - 6) / (3 - (-2)) = 8 / 5 = 1.6

Therefore, the slope of the line passing through (-2, 6) and (3, 14) is 1.6.