This topic focuses on determining the equations of lines in standard form that are perpendicular to given slopes. It involves converting slopes from fractional form to the appropriate slopes that satisfy perpendicularity, and then placing these slopes into standard form equations. The problems require understanding the relationship between perpendicular slopes and applying this to create equations in standard form. Each question provides a different initial slope and multiple-choice answers featuring various standard form equations to identify the correct perpendicular line equation.

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Slope - Find Perpendicular - Fraction Slope to Standard Form Worksheet

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Slope - Find Perpendicular - Fraction Slope to Standard Form
1
A LaTex expression showing m=-1
What line equation in standard form would have a slope that is PERPENDICULAR to this slope?
a A LaTex expression showing -0.5x + 1y = 1
b A LaTex expression showing -2x + 2y = 2
2
A LaTex expression showing m=1 over 2
What line equation in standard form would have a slope that is PERPENDICULAR to this slope?
a A LaTex expression showing 6x + 3y = 6
b A LaTex expression showing 1x + 2y = 4
3
A LaTex expression showing m=1 over 5
What line equation in standard form would have a slope that is PERPENDICULAR to this slope?
a A LaTex expression showing 7.5x + 3y = 15
b A LaTex expression showing 10x + 2y = 10
4
A LaTex expression showing m=-1 over 5
What line equation in standard form would have a slope that is PERPENDICULAR to this slope?
a A LaTex expression showing -0.4x + 2y = 2
b A LaTex expression showing -5x + 1y = 1
5
A LaTex expression showing m=-5
What line equation in standard form would have a slope that is PERPENDICULAR to this slope?
a A LaTex expression showing 0.2x + 1y = 1
b A LaTex expression showing -0.6x + 3y = 3
6
A LaTex expression showing m=-3
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 -0.67x + 2y = 6
7
A LaTex expression showing m=-4
What line equation in standard form would have a slope that is PERPENDICULAR to this slope?
a A LaTex expression showing -0.25x + 1y = 2
b A LaTex expression showing -0.13x + 1y = 2
8
A LaTex expression showing m=-1 over 4
What line equation in standard form would have a slope that is PERPENDICULAR to this slope?
a A LaTex expression showing -8x + 2y = 2
b A LaTex expression showing -0.5x + 2y = 2