Find the slope of the line that passes through the following two points:(-2, -14) and (-4, -24)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:(-2, -14) and (-4, -24)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 (-2, -14) and (-4, -24). So, x1 = -2, y1 = -14, x2 = -4, and y2 = -24.
Substituting these values into the formula, we get:
m = (-24 - (-14)) / (-4 - (-2)) m = (-24 + 14) / (-4 + 2) m = -10 / -2 m = 5
So, the slope of the line that passes through the points (-2, -14) and (-4, -24) is 5.
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