What is the slope of the line that passes through the points left bracket, minus, 9, comma, 10, right bracket(−9,10) and left bracket, minus, 13, comma, 13, right bracket(−13,13)? 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 (-9,10) and (-13,13):
slope = (13 - 10) / (-13 - (-9))
= 3 / (-13 + 9)
= 3 / (-4)
= -3/4
Therefore, the slope of the line is -3/4.