Final answer:
The slope of the line passing through points P₁ = (8,-7) and P₂ = (−6,1) is calculated using the slope formula and is found to be −4/7.
Step-by-step explanation:
To find the slope of a line passing through two points P₁ = (8,-7) and P₂ = (−6,1), we can use the slope formula which is:
m = (y₂ − y₁) / (x₂ − x₁)
Where, (x₁, y₁) and (x₂, y₂) are the coordinates of the two points on the line.
For the given points, P₁ = (8, -7) and P₂ = (−6, 1), we calculate the slope as follows:
m = (1 - (-7)) / (-6 - 8)
m = (1 + 7) / (-6 - 8)
m = 8 / (-14)
m = -4/7
So, the slope of the line passing through points P₁ and P₂ is −4/7.