Find the slope of the line passing through the points 6, 2 and −6, 1.
Question
Find the slope of the line passing through the points 6, 2 and −6, 1.
Solution
To find the slope of the line passing through the points (6, 2) and (-6, 1), we can use the formula for slope, which is given by:
slope = (y2 - y1) / (x2 - x1)
Let's substitute the coordinates of the points into the formula:
slope = (1 - 2) / (-6 - 6)
Simplifying the numerator and denominator:
slope = -1 / -12
Since the numerator and denominator have a common factor of -1, we can simplify further:
slope = 1 / 12
Therefore, the slope of the line passing through the points (6, 2) and (-6, 1) is 1/12.
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