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Use the slope formula to find the slope of the line through the points p₁ and p2. P₁ = (8,-7) P2=(−6,1)​

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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.

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