What is the slope of the line that passes through the points left bracket, minus, 7, comma, minus, 10, right bracket(−7,−10) and left bracket, minus, 19, comma, minus, 10, right bracket(−19,−10)? 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)
Using the given points (-7,-10) and (-19,-10), the slope of the line is:
slope = (-10 - (-10)) / (-19 - (-7))
= 0 / (-19 + 7)
= 0 / (-12)
= 0
Therefore, the slope of the line is 0.