This math topic focuses on identifying the line equations that are perpendicular to given line equations. It includes converting the line equations from standard form to slope-intercept form to ascertain the slope, and then determining the perpendicular slopes accordingly. Each question presents a line equation in standard form, and students must select the line equation among the provided choices that has a slope perpendicular to the given equation. This involves understanding and applying the concept that the slope of perpendicular lines are negative reciprocals of each other.

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

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Slope - Find Perpendicular - Standard Form to Slope Zero Intercept Form
1
What line equation would have a slope that is PERPENDICULAR to the slope of this line equation?
A LaTex expression showing 15x + 3y = 15
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=1 over 5 x
2
What line equation would have a slope that is PERPENDICULAR to the slope of this line equation?
A LaTex expression showing -2x + 2y = 2
a A LaTex expression showing y=1 over 2 x
b A LaTex expression showing y=-1x
c A LaTex expression showing y=1x
3
What line equation would have a slope that is PERPENDICULAR to the slope of this line equation?
A LaTex expression showing -2x + 1y = 3
a A LaTex expression showing y=-2x
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=1 over 2 x
4
What line equation would have a slope that is PERPENDICULAR to the slope of this line equation?
A LaTex expression showing 0.67x + 2y = 4.67
a A LaTex expression showing y=-3x
b A LaTex expression showing y=3 over 2 x
c A LaTex expression showing y=3x
d A LaTex expression showing y=1 over 3 x
5
What line equation would have a slope that is PERPENDICULAR to the slope of this line equation?
A LaTex expression showing -10x + 2y = 6
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 the slope of this line equation?
A LaTex expression showing -1x + 2y = 6
a A LaTex expression showing y=-2 over 2 x
b A LaTex expression showing y=2x
c A LaTex expression showing y=-1 over 2 x
d A LaTex expression showing y=-2x
7
What line equation would have a slope that is PERPENDICULAR to the slope of this line equation?
A LaTex expression showing 6x + 2y = 6
a A LaTex expression showing y=-3 over 2 x
b A LaTex expression showing y=3x
c A LaTex expression showing y=-1 over 3 x
d A LaTex expression showing y=1 over 3 x
8
What line equation would have a slope that is PERPENDICULAR to the slope of this line equation?
A LaTex expression showing -0.75x + 3y = 3
a A LaTex expression showing y=-4x
b A LaTex expression showing y=4x
c A LaTex expression showing y=-4 over 2 x
d A LaTex expression showing y=-1 over 4 x