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

Level 1

This math topic focuses on finding the slope of a line perpendicular to a given line segment, defined by two points. Each question provides coordinates for two points and asks the student to compute the slope of the line that would be perpendicular to the segment connecting these points. Multiple-choice answers are presented. These skills are foundational for understanding the relationships between line segments, slopes, and perpendicular bisectors. The broader unit incorporates concepts of 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 (Value) Worksheet

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Line Segment (Points) - Find Perpendicular Slope (Value)
1
Find the slope of the PERPENDICULAR to segment AB
A LaTex expression showing \text{Point A: }(2, 7)\\ \text{Point B: }(3, 1)
a A LaTex expression showing -1 over 2
b A LaTex expression showing 1 over 2
c A LaTex expression showing 2 over 3
d A LaTex expression showing 1 over 8
e A LaTex expression showing 1 over 6
f A LaTex expression showing -1 over 6
2
Find the slope of the PERPENDICULAR to segment AB
A LaTex expression showing \text{Point A: }(6, 10)\\ \text{Point B: }(7, 6)
a A LaTex expression showing 4
b A LaTex expression showing -1 over 4
c A LaTex expression showing 1 over 4
d A LaTex expression showing -3 over 4
e A LaTex expression showing -1 over 2
f A LaTex expression showing 1 over 6
3
Find the slope of the PERPENDICULAR to segment AB
A LaTex expression showing \text{Point A: }(4, 8)\\ \text{Point B: }(7, 2)
a A LaTex expression showing 3 over 10
b A LaTex expression showing -1 over 6
c A LaTex expression showing 2
d A LaTex expression showing -1 over 2
e A LaTex expression showing 3 over 4
f A LaTex expression showing 1 over 2
4
Find the slope of the PERPENDICULAR to segment AB
A LaTex expression showing \text{Point A: }(1, 10)\\ \text{Point B: }(3, 8)
a A LaTex expression showing 5 over 2
b A LaTex expression showing -1
c A LaTex expression showing 1
d A LaTex expression showing -1 over 2
e A LaTex expression showing 1 over 3
f A LaTex expression showing 2
5
Find the slope of the PERPENDICULAR to segment AB
A LaTex expression showing \text{Point A: }(4, 3)\\ \text{Point B: }(5, 7)
a A LaTex expression showing 1 over 4
b A LaTex expression showing -4
c A LaTex expression showing -3 over 4
d A LaTex expression showing -1 over 4
e A LaTex expression showing 1 over 2
f A LaTex expression showing -1 over 7
6
Find the slope of the PERPENDICULAR to segment AB
A LaTex expression showing \text{Point A: }(6, 5)\\ \text{Point B: }(8, 7)
a A LaTex expression showing 1 over 2
b A LaTex expression showing 1
c A LaTex expression showing -2 over 5
d A LaTex expression showing -5 over 2
e A LaTex expression showing -1
f A LaTex expression showing -3
7
Find the slope of the PERPENDICULAR to segment AB
A LaTex expression showing \text{Point A: }(3, 6)\\ \text{Point B: }(4, 10)
a A LaTex expression showing -1 over 2
b A LaTex expression showing -4
c A LaTex expression showing -1 over 7
d A LaTex expression showing 1 over 2
e A LaTex expression showing -1
f A LaTex expression showing -1 over 4
8
Find the slope of the PERPENDICULAR to segment AB
A LaTex expression showing \text{Point A: }(1, 4)\\ \text{Point B: }(5, 8)
a A LaTex expression showing -7 over 4
b A LaTex expression showing -1 over 2
c A LaTex expression showing -3 over 2
d A LaTex expression showing 1
e A LaTex expression showing -1
f A LaTex expression showing -4 over 7