This math topic focuses on determining the equations of lines in standard form that are perpendicular to given lines. Questions require understanding how to identify slopes from standard form equations and applying the concept that perpendicular slopes are negative reciprocals of each other. Each problem presents a line equation, and students must select the correct equation from multiple choices that represents a line perpendicular to the given one.

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Slope - Find Perpendicular - Standard Form to Standard Form Worksheet

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Slope - Find Perpendicular - Standard Form to Standard Form
1
A LaTex expression showing -0.6x + 3y = 6
What line equation in standard form would have a slope that is PERPENDICULAR to the slope of this line equation?
a A LaTex expression showing 5x + 1y = 5
b A LaTex expression showing -15x + 3y = 15
2
What line equation in standard form would have a slope that is PERPENDICULAR to the slope of this line equation?
A LaTex expression showing 0.25x + 1y = 2.25
a A LaTex expression showing -0.75x + 3y = 9
b A LaTex expression showing -8x + 2y = 6
3
What line equation in standard form would have a slope that is PERPENDICULAR to the slope of this line equation?
A LaTex expression showing 8x + 2y = 8
a A LaTex expression showing -4x + 1y = 1
b A LaTex expression showing -0.75x + 3y = 3
4
What line equation in standard form would have a slope that is PERPENDICULAR to the slope of this line equation?
A LaTex expression showing -12x + 3y = 9
a A LaTex expression showing 0.13x + 1y = 3.25
b A LaTex expression showing 0.75x + 3y = 9.75
5
A LaTex expression showing 1x + 3y = 10
What line equation in standard form would have a slope that is PERPENDICULAR to the slope of this line equation?
a A LaTex expression showing -4.5x + 3y = 9
b A LaTex expression showing -3x + 1y = 3
6
A LaTex expression showing -2x + 2y = 4
What line equation in standard form would have a slope that is PERPENDICULAR to the slope of this line equation?
a A LaTex expression showing 1x + 1y = 1
b A LaTex expression showing 2x + 2y = 2
7
What line equation in standard form would have a slope that is PERPENDICULAR to the slope of this line equation?
A LaTex expression showing 9x + 3y = 9
a A LaTex expression showing 1x + 3y = 3
b A LaTex expression showing -0.33x + 1y = 1
8
A LaTex expression showing 10x + 2y = 10
What line equation in standard form would have a slope that is PERPENDICULAR to the slope of this line equation?
a A LaTex expression showing -0.3x + 3y = 3
b A LaTex expression showing -0.6x + 3y = 3