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What is the slope of the line that passes through the points (−9, 10) and (−13, 13)?

What is the slope of the line that passes through the points (−9, 10) and (−13, 13)? Write your answer in simplest form.

Answer

The slope of a line passing through two points (x1, y1) and (x2, y2) is calculated using the formula:

slope = (y2 - y1) / (x2 - x1)

Substituting the given points (−9, 10) and (−13, 13):

slope = (13 - 10) / (−13 + 9) = 3 / (−4) = −3/4

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