This math topic focuses on identifying line equations that are perpendicular to given line equations. It involves converting line equations from standard form to slope-intercept form and then determining the equation of a perpendicular line. The questions provide a line equation in standard form (e.g., 2x + 2y = 2), and students are asked to select which of the multiple-choice line equations would have a slope perpendicular to the slope of the given equation. This topic requires understanding the relationship between slopes of perpendicular lines and converting between different forms of line equations.

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

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Slope - Find Perpendicular - Standard Form to Slope Y 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 = 3
a A LaTex expression showing y=-1 over 5 x + 0.2
b A LaTex expression showing y=1 over 5 x + 0.2
c A LaTex expression showing y=5 over 2 x + 0.2
d A LaTex expression showing y=-5x + 0.2
2
What line equation would have a slope that is PERPENDICULAR to the slope of this line equation?
A LaTex expression showing 1x + 2y = 3
a A LaTex expression showing y=2x + 1
b A LaTex expression showing y=1 over 2 x + 1
c A LaTex expression showing y=2 over 2 x + 1
d A LaTex expression showing y=-2x + 1
3
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=-1x + 1
b A LaTex expression showing y=1x + 1
c A LaTex expression showing y=-1 over 2 x + 1
4
What line equation would have a slope that is PERPENDICULAR to the slope of this line equation?
A LaTex expression showing -1x + 2y = 4
a A LaTex expression showing y=-2x + 2
b A LaTex expression showing y=2x + 2
c A LaTex expression showing y=-1 over 2 x + 2
d A LaTex expression showing y=-2 over 2 x + 2
5
What line equation would have a slope that is PERPENDICULAR to the slope of this line equation?
A LaTex expression showing 0.75x + 3y = 3.75
a A LaTex expression showing y=1 over 4 x + 2
b A LaTex expression showing y=-4x + 2
c A LaTex expression showing y=4 over 2 x + 2
d A LaTex expression showing y=4x + 2
6
What line equation would have a slope that is PERPENDICULAR to the slope of this line equation?
A LaTex expression showing -12x + 3y = 3
a A LaTex expression showing y=-4x + 1.25
b A LaTex expression showing y=4 over 2 x + 1.25
c A LaTex expression showing y=1 over 4 x + 1.25
d A LaTex expression showing y=-1 over 4 x + 1.25
7
What line equation would have a slope that is PERPENDICULAR to the slope of this line equation?
A LaTex expression showing 1x + 3y = 4
a A LaTex expression showing y=1 over 3 x + 3
b A LaTex expression showing y=3x + 3
c A LaTex expression showing y=-3x + 3
d A LaTex expression showing y=3 over 2 x + 3
8
What line equation would have a slope that is PERPENDICULAR to the slope of this line equation?
A LaTex expression showing -2x + 1y = 2
a A LaTex expression showing y=-2x + 1.5
b A LaTex expression showing y=1 over 2 x + 1.5
c A LaTex expression showing y=2 over 2 x + 1.5
d A LaTex expression showing y=-1 over 2 x + 1.5