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

Level 2

The math topic focuses on finding the slope of a line perpendicular to a given line segment using graphical representations and formulas. It teaches how to derive the perpendicular slope by manipulating expressions of slopes for various line segments. Overall, this topic emphasizes understanding the relationship between slopes of perpendicular lines, essential for studies in geometry and algebra. Each problem typically presents a line segment with coordinates and requires the calculation of the slope of a line perpendicular to it using different expressions and strategies.

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

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

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Line Segment (Graph) - Find Perpendicular Slope (Formula)
1
An svg image showing a math problem
How would you find the slope of the PERPENDICULAR to segment AB?
a A LaTex expression showing 8 - 1 over 2 - 8
b A LaTex expression showing 2 - 8 over 8 - 1
2
An svg image showing a math problem
How would you find the slope of the PERPENDICULAR to segment AB?
a A LaTex expression showing 7 - 1 over 2 - 10
b A LaTex expression showing 2 - 10 over 7 - 1
3
An svg image showing a math problem
How would you find the slope of the PERPENDICULAR to segment AB?
a A LaTex expression showing 9 - 1 over 6 - 1
b A LaTex expression showing 6 - 1 over 9 - 1
4
An svg image showing a math problem
How would you find the slope of the PERPENDICULAR to segment AB?
a A LaTex expression showing 3 - 7 over 8 - 3
b A LaTex expression showing 8 - 3 over 3 - 7
5
An svg image showing a math problem
How would you find the slope of the PERPENDICULAR to segment AB?
a A LaTex expression showing 10 - 1 over 6 - 4
b A LaTex expression showing 6 - 4 over 10 - 1
6
An svg image showing a math problem
How would you find the slope of the PERPENDICULAR to segment AB?
a A LaTex expression showing 6 - 4 over 4 - 9
b A LaTex expression showing 4 - 9 over 6 - 4
7
An svg image showing a math problem
How would you find the slope of the PERPENDICULAR to segment AB?
a A LaTex expression showing 5 - 2 over 3 - 8
b A LaTex expression showing 3 - 8 over 5 - 2
8
An svg image showing a math problem
How would you find the slope of the PERPENDICULAR to segment AB?
a A LaTex expression showing 2 - 9 over 10 - 3
b A LaTex expression showing 10 - 3 over 2 - 9