FIND THE SLOPE OF A LINE PERPENDICULAR TO THE LINE THAT PASSES THROUGH THE FOLLOWING POINTS
(3,9) AND (7,15)
Take the negative reciprocal of the slope.
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The subject is not physics
straight pipe
To find the slope of a line perpendicular to another line, we need to first find the slope of the given line. The formula to calculate the slope of a line passing through two points (x1, y1) and (x2, y2) is:
slope = (y2 - y1) / (x2 - x1)
Let's calculate the slope of the given line passing through the points (3,9) and (7,15):
slope = (15 - 9) / (7 - 3)
slope = 6 / 4
slope = 3/2
Now that we have the slope of the given line, we can find the slope of the line perpendicular to it. The slopes of two perpendicular lines are negative reciprocals of each other. So, to find the slope of the line perpendicular to the given line, we take the negative reciprocal of the slope we just calculated:
slope of perpendicular line = -1 / (3/2)
slope of perpendicular line = -2/3
Therefore, the slope of the line perpendicular to the line passing through the points (3,9) and (7,15) is -2/3.