Find the slope of the line passing through the points −−5, 2 and −3, 9.
Question
Find the slope of the line passing through the points −−5, 2 and −3, 9.
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 given are (-5, 2) and (-3, 9). So, x1 = -5, y1 = 2, x2 = -3, and y2 = 9.
Substitute these values into the formula:
m = (9 - 2) / (-3 - (-5))
Simplify the equation:
m = 7 / 2
So, the slope of the line passing through the points (-5, 2) and (-3, 9) is 7/2 or 3.5.
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