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

Complete these online problems with 80% or 4 correct answers in a row. Results are immediate.


What line equation in standard form would have a slope that is PERPENDICULAR to this slope?

m=-0.25

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Slope - Find Perpendicular - Decimal Slope to Standard Form Worksheet

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Math worksheet on 'Slope - Find Perpendicular - Decimal Slope to Standard Form (Level 1)'. Part of a broader unit on 'Slopes and Perpendiculars - Practice' Learn online: app.mobius.academy/math/units/line_equations_and_perpendiculars_practice/
1
What line equation in standard form would have a slope that is PERPENDICULAR to this slope?
m=1
a A LaTex expression showing 1x + 1y = 3
b A LaTex expression showing -1x + 1y = 3
c A LaTex expression showing 2x + 2y = 6
d A LaTex expression showing 1.5x + 3y = 9
2
What line equation in standard form would have a slope that is PERPENDICULAR to this slope?
m=0.5
a A LaTex expression showing 3x + 3y = 6
b A LaTex expression showing 6x + 3y = 6
c A LaTex expression showing -4x + 2y = 4
d A LaTex expression showing 1.5x + 3y = 6
3
What line equation in standard form would have a slope that is PERPENDICULAR to this slope?
m=-1
a A LaTex expression showing -3x + 3y = 3
b A LaTex expression showing -1.5x + 3y = 3
c A LaTex expression showing -2x + 2y = 2
d A LaTex expression showing 2x + 2y = 2
4
What line equation in standard form would have a slope that is PERPENDICULAR to this slope?
m=3
a A LaTex expression showing -0.67x + 2y = 4.67
b A LaTex expression showing 0.5x + 3y = 7
c A LaTex expression showing 0.67x + 2y = 4.67
d A LaTex expression showing 9x + 3y = 7
5
What line equation in standard form would have a slope that is PERPENDICULAR to this slope?
m=0.2
a A LaTex expression showing 15x + 3y = 15
b A LaTex expression showing -15x + 3y = 15
c A LaTex expression showing 0.4x + 2y = 10
d A LaTex expression showing 5x + 2y = 10
6
What line equation in standard form would have a slope that is PERPENDICULAR to this slope?
m=-0.2
a A LaTex expression showing -7.5x + 3y = 3
b A LaTex expression showing -0.6x + 3y = 3
c A LaTex expression showing -10x + 2y = 2
d A LaTex expression showing 10x + 2y = 2
7
What line equation in standard form would have a slope that is PERPENDICULAR to this slope?
m=-2
a A LaTex expression showing -0.75x + 3y = 3
b A LaTex expression showing 1x + 2y = 2
c A LaTex expression showing -0.5x + 1y = 1
d A LaTex expression showing -6x + 3y = 3