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Line Segment (Points) - Find Perpendicular Slope (Formula)

Level 2

This math topic focuses on finding the slope of a line perpendicular to a given line segment, a fundamental concept in coordinate geometry. Students are provided with pairs of points, representing endpoints of line segments, and are required to apply the formula for the slope of a perpendicular line. The problems emphasize understanding and applying the negative reciprocal relationship of slopes between perpendicular lines. This skill is valuable for deeper study in geometry, specifically dealing with line segments, mid-points, and perpendicular bisectors.

Work on practice problems directly here, or download the printable pdf worksheet to practice offline.

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Line Segment (Points) - Find Perpendicular Slope (Formula) Worksheet

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Line Segment (Points) - Find Perpendicular Slope (Formula)
1
A LaTex expression showing \text{Point A: }(6, 5)\\ \text{Point B: }(8, 1)
How would you find the slope of the PERPENDICULAR to segment AB?
a A LaTex expression showing 1 - 5 over 8 - 6
b A LaTex expression showing 8 - 6 over 1 - 5
2
A LaTex expression showing \text{Point A: }(2, 3)\\ \text{Point B: }(9, 6)
How would you find the slope of the PERPENDICULAR to segment AB?
a A LaTex expression showing 6 - 3 over 9 - 2
b A LaTex expression showing 9 - 2 over 6 - 3
3
A LaTex expression showing \text{Point A: }(3, 5)\\ \text{Point B: }(4, 9)
How would you find the slope of the PERPENDICULAR to segment AB?
a A LaTex expression showing 4 - 3 over 9 - 5
b A LaTex expression showing 9 - 5 over 4 - 3
4
A LaTex expression showing \text{Point A: }(1, 10)\\ \text{Point B: }(5, 7)
How would you find the slope of the PERPENDICULAR to segment AB?
a A LaTex expression showing 5 - 1 over 7 - 10
b A LaTex expression showing 7 - 10 over 5 - 1
5
A LaTex expression showing \text{Point A: }(4, 5)\\ \text{Point B: }(6, 3)
How would you find the slope of the PERPENDICULAR to segment AB?
a A LaTex expression showing 3 - 5 over 6 - 4
b A LaTex expression showing 6 - 4 over 3 - 5
6
A LaTex expression showing \text{Point A: }(6, 6)\\ \text{Point B: }(9, 10)
How would you find the slope of the PERPENDICULAR to segment AB?
a A LaTex expression showing 10 - 6 over 9 - 6
b A LaTex expression showing 9 - 6 over 10 - 6
7
A LaTex expression showing \text{Point A: }(1, 4)\\ \text{Point B: }(7, 9)
How would you find the slope of the PERPENDICULAR to segment AB?
a A LaTex expression showing 9 - 4 over 7 - 1
b A LaTex expression showing 7 - 1 over 9 - 4
8
A LaTex expression showing \text{Point A: }(3, 10)\\ \text{Point B: }(10, 1)
How would you find the slope of the PERPENDICULAR to segment AB?
a A LaTex expression showing 10 - 3 over 1 - 10
b A LaTex expression showing 1 - 10 over 10 - 3