Question 79480: Find the slope of any line perpendicular to the line through points (0, 5) and (-3, -4).
Answer by sprolden(40) (Show Source):
You can put this solution on YOUR website! Find the slope of any line perpendicular to the line through points (0, 5) and (-3, -4).
1- The formula for slope is y2-y1/x2-x1.
Let y2=-4, y1=5, x2=-3, x1=0
-4-5/-3-0
-9/-3
3
2- The slope of the line is 3. The slopes of perpendicular lines are negative reciprocals of each other. The slope of any line perpendicular to this line would be -1/3.
3- Why is the slope of the perpendicular line -1/3? The reciprocal of 3 is 1/3. To find the negative reciprocal, change the sign.
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