Find the slope of the line that passes through the following two points:(-4, 5) and (8, -25)Give your answer as a number, rounded to the nearest tenth, if necessary.
Question
Find the slope of the line that passes through the following two points:(-4, 5) and (8, -25)Give your answer as a number, rounded to the nearest tenth, if necessary.
Solution
The slope of a line passing through two points (x1, y1) and (x2, y2) can be found using the formula:
m = (y2 - y1) / (x2 - x1)
Here, the two points are (-4, 5) and (8, -25). So, x1 = -4, y1 = 5, x2 = 8, and y2 = -25.
Substituting these values into the formula, we get:
m = (-25 - 5) / (8 - (-4))
This simplifies to:
m = (-30) / (12)
So, the slope of the line is -30 / 12 = -2.5.
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