This math topic focuses on determining perpendicular slopes and converting these into linear equations. The problems provided challenge students to find line equations that have slopes perpendicular to given decimal slopes. Each question presents a specific slope, and the student must identify which of the provided equations corresponds to a perpendicular slope to the given one. This skill is central to understanding relationships between linear equations, particularly how slope affects the orientation of lines with respect to each other.

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

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

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Slope - Find Perpendicular - Decimal Slope to Slope Zero Intercept Form
1
What line equation would have a slope that is PERPENDICULAR to this slope?
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
2
What line equation would have a slope that is PERPENDICULAR to this slope?
m=0.5
a A LaTex expression showing y=-2x
b A LaTex expression showing y=2x
c A LaTex expression showing y=-2 over 2 x
d A LaTex expression showing y=-1 over 2 x
3
What line equation would have a slope that is PERPENDICULAR to this slope?
m=2
a A LaTex expression showing y=1 over 2 x
b A LaTex expression showing y=2 over 2 x
c A LaTex expression showing y=-1 over 2 x
d A LaTex expression showing y=-2x
4
What line equation would have a slope that is PERPENDICULAR to this slope?
m=1
a A LaTex expression showing y=1x
b A LaTex expression showing y=-1x
c A LaTex expression showing y=1 over 2 x
5
What line equation would have a slope that is PERPENDICULAR to this slope?
m=-5
a A LaTex expression showing y=-1 over 5 x
b A LaTex expression showing y=1 over 5 x
c A LaTex expression showing y=-5 over 2 x
d A LaTex expression showing y=5x
6
What line equation would have a slope that is PERPENDICULAR to this slope?
m=-0.2
a A LaTex expression showing y=5x
b A LaTex expression showing y=1 over 5 x
c A LaTex expression showing y=5 over 2 x
d A LaTex expression showing y=-5x
7
What line equation would have a slope that is PERPENDICULAR to this slope?
m=4
a A LaTex expression showing y=-1 over 4 x
b A LaTex expression showing y=4 over 2 x
c A LaTex expression showing y=1 over 4 x
d A LaTex expression showing y=-4x
8
What line equation would have a slope that is PERPENDICULAR to this slope?
m=-0.25
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