What is the slope of the line that passes through the points left bracket, minus, 7, comma, minus, 8, right bracket(−7,−8) and left bracket, minus, 5, comma, minus, 6, right bracket(−5,−6)? Write your answer in simplest form.
The slope of a line passing through two points (x₁, y₁) and (x₂, y₂) can be found using the formula:
slope = (y₂ - y₁) / (x₂ - x₁)
Here, the points are (-7, -8) and (-5, -6). Substituting the values into the formula:
slope = (-6 - (-8)) / (-5 - (-7))
= (-6 + 8) / (-5 + 7)
= 2 / 2
= 1
Therefore, the slope of the line passing through these points is 1.