This math topic focuses on finding the equations of lines in standard form that are perpendicular to a given slope. It involves understanding the relationship between perpendicular slopes and converting decimal slopes to the standard form equation of a line. Each problem presents a slope value, and students must select the correct line equation from multiple choices that is perpendicular to that slope. This is part of a broader unit on slopes and perpendicular lines, testing skills in manipulating line equations and understanding the geometric concept of perpendicularity.

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 Standard Form Worksheet

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Slope - Find Perpendicular - Decimal Slope to Standard Form
1
m=0.33
What line equation in standard form would have a slope that is PERPENDICULAR to this slope?
a A LaTex expression showing -9x + 3y = 9
b A LaTex expression showing 6x + 2y = 6
2
m=-1
What line equation in standard form would have a slope that is PERPENDICULAR to this slope?
a A LaTex expression showing -1.5x + 3y = 9
b A LaTex expression showing -3x + 3y = 9
3
m=2
What line equation in standard form would have a slope that is PERPENDICULAR to this slope?
a A LaTex expression showing 1x + 2y = 5
b A LaTex expression showing 4x + 2y = 5
4
m=4
What line equation in standard form would have a slope that is PERPENDICULAR to this slope?
a A LaTex expression showing 0.75x + 3y = 9.75
b A LaTex expression showing -0.5x + 2y = 6.5
5
m=-0.2
What line equation in standard form would have a slope that is PERPENDICULAR to this slope?
a A LaTex expression showing -2.5x + 1y = 1
b A LaTex expression showing -10x + 2y = 2
6
m=-3
What line equation in standard form would have a slope that is PERPENDICULAR to this slope?
a A LaTex expression showing 0.33x + 1y = 1
b A LaTex expression showing -1x + 3y = 3
7
m=1
What line equation in standard form would have a slope that is PERPENDICULAR to this slope?
a A LaTex expression showing 1x + 1y = 3
b A LaTex expression showing 2x + 1y = 6
8
m=0.2
What line equation in standard form would have a slope that is PERPENDICULAR to this slope?
a A LaTex expression showing 5x + 2y = 10
b A LaTex expression showing 5x + 1y = 5