Find the slope of the line passing through the points 7, 4 and −7, 6.
Question
Find the slope of the line passing through the points 7, 4 and −7, 6.
Solution
To find the slope of a line passing through two points (x1, y1) and (x2, y2), you can use the formula for the slope of a line:
m = (y2 - y1) / (x2 - x1)
Here, the two points are (7, 4) and (-7, 6). So, x1 = 7, y1 = 4, x2 = -7, and y2 = 6.
Substitute these values into the formula:
m = (6 - 4) / (-7 - 7)
Simplify the equation:
m = 2 / -14
So, the slope of the line passing through the points (7, 4) and (-7, 6) is -1/7.
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