Determine whether the slope of (4, 8) and (-3, -6) is positive, negative, zero, or undefined.
The slope of a line passing through two points (x₁, y₁) and (x₂, y₂) is given by the formula:
slope = (y₂ - y₁) / (x₂ - x₁)
Applying the formula to the given points (4, 8) and (-3, -6):
slope = (-6 - 8) / (-3 - 4)
= (-14) / (-7)
= 2
Therefore, the slope of the line passing through (4, 8) and (-3, -6) is positive.