This math topic focuses on determining the equations of lines that are perpendicular to given slopes. The problems involve identifying line equations that have perpendicular slopes to those presented, with slopes frequently expressed as fractions. The exercises enhance students’ understanding of negative reciprocal relationships between slopes of perpendicular lines, reinforcing skills in algebra and geometry, specifically dealing with line equations. This set of problems is introductory and forms part of a broader unit on slopes and perpendiculars.

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Slope - Find Perpendicular - Fraction Slope to Slope Zero Intercept Form Worksheet

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Slope - Find Perpendicular - Fraction Slope to Slope Zero Intercept Form
1
What line equation would have a slope that is PERPENDICULAR to this slope?
A LaTex expression showing m=1 over 4
a A LaTex expression showing y=-4 over 2 x
b A LaTex expression showing y=-1 over 4 x
c A LaTex expression showing y=-4x
d A LaTex expression showing y=4x
2
What line equation would have a slope that is PERPENDICULAR to this slope?
A LaTex expression showing m=1
a A LaTex expression showing y=-1 over 2 x
b A LaTex expression showing y=1x
c A LaTex expression showing y=-1x
3
What line equation would have a slope that is PERPENDICULAR to this slope?
A LaTex expression showing m=1 over 5
a A LaTex expression showing y=-1 over 5 x
b A LaTex expression showing y=5x
c A LaTex expression showing y=-5x
d A LaTex expression showing y=-5 over 2 x
4
What line equation would have a slope that is PERPENDICULAR to this slope?
A LaTex expression showing m=-5
a A LaTex expression showing y=-1 over 5 x
b A LaTex expression showing y=-5 over 2 x
c A LaTex expression showing y=1 over 5 x
d A LaTex expression showing y=5x
5
What line equation would have a slope that is PERPENDICULAR to this slope?
A LaTex expression showing m=1 over 2
a A LaTex expression showing y=2x
b A LaTex expression showing y=-1 over 2 x
c A LaTex expression showing y=-2x
d A LaTex expression showing y=-2 over 2 x
6
What line equation would have a slope that is PERPENDICULAR to this slope?
A LaTex expression showing m=4
a A LaTex expression showing y=-1 over 4 x
b A LaTex expression showing y=-4x
c A LaTex expression showing y=1 over 4 x
d A LaTex expression showing y=4 over 2 x
7
What line equation would have a slope that is PERPENDICULAR to this slope?
A LaTex expression showing m=5
a A LaTex expression showing y=-1 over 5 x
b A LaTex expression showing y=-5x
c A LaTex expression showing y=5 over 2 x
d A LaTex expression showing y=1 over 5 x
8
What line equation would have a slope that is PERPENDICULAR to this slope?
A LaTex expression showing m=-3
a A LaTex expression showing y=3x
b A LaTex expression showing y=1 over 3 x
c A LaTex expression showing y=-1 over 3 x
d A LaTex expression showing y=-3 over 2 x