What is the slope of the line that passes through the points left bracket, 7, comma, minus, 5, right bracket(7,−5) and left bracket, 16, comma, 7, right bracket(16,7)? Write your answer in simplest form.
The slope of a line passing through two points (x₁, y₁) and (x₂, y₂) is given by the formula:
slope = (y₂ - y₁)/(x₂ - x₁)
Plugging in the given points, we get:
slope = (7 - (-5))/(16 - 7)
= (7 + 5)/(16 - 7)
= 12/9
= 4/3
Therefore, the slope of the line passing through the points (7, -5) and (16, 7) is 4/3.