This topic primarily focuses on identifying line equations with slopes that are perpendicular to given line equations. It involves using the property that the slopes of two perpendicular lines are negative reciprocals of each other. Each problem presents an original line equation in slope-intercept form, \( y = mx + c \), and asks to select from multiple choices the equation of a line with a perpendicular slope. Overall, the skill practiced is understanding and applying the concept of slope, particularly how it relates to perpendicularity in the context of linear equations.

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

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What line equation would have a slope that is PERPENDICULAR to the slope of this line equation?

y=2x+3y=2x + 3

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

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Math worksheet on 'Slope - Find Perpendicular - Slope Y Intercept Form to Slope Y Intercept Form (Level 1)'. Part of a broader unit on 'Slopes and Perpendiculars - Intro' Learn online: app.mobius.academy/math/units/line_equations_and_perpendiculars_intro/
1
What line equation would have a slope that is PERPENDICULAR to the slope of this line equation?
A LaTex expression showing y=-2x + 2
a A LaTex expression showing y=-2 over 2 x + 1
b A LaTex expression showing y=1 over 2 x + 1
c A LaTex expression showing y=-1 over 2 x + 1
d A LaTex expression showing y=2x + 1
2
What line equation would have a slope that is PERPENDICULAR to the slope of this line equation?
A LaTex expression showing y=-1x + 1
a A LaTex expression showing y=1 over 2 x + 2
b A LaTex expression showing y=1x + 2
c A LaTex expression showing y=-1x + 2
3
What line equation would have a slope that is PERPENDICULAR to the slope of this line equation?
A LaTex expression showing y=-5x + 5
a A LaTex expression showing y=-1 over 5 x + 1
b A LaTex expression showing y=5x + 1
c A LaTex expression showing y=1 over 5 x + 1
d A LaTex expression showing y=-5 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 y=-1 over 5 x + 0.2
a A LaTex expression showing y=-5x + 2
b A LaTex expression showing y=1 over 5 x + 2
c A LaTex expression showing y=5 over 2 x + 2
d A LaTex expression showing y=5x + 2
5
What line equation would have a slope that is PERPENDICULAR to the slope of this line equation?
A LaTex expression showing y=-1 over 2 x + 2.5
a A LaTex expression showing y=1 over 2 x + 2
b A LaTex expression showing y=2 over 2 x + 2
c A LaTex expression showing y=2x + 2
d A LaTex expression showing y=-2x + 2
6
What line equation would have a slope that is PERPENDICULAR to the slope of this line equation?
A LaTex expression showing y=-1 over 3 x + 0.33
a A LaTex expression showing y=1 over 3 x + 2
b A LaTex expression showing y=-3x + 2
c A LaTex expression showing y=3 over 2 x + 2
d A LaTex expression showing y=3x + 2
7
What line equation would have a slope that is PERPENDICULAR to the slope of this line equation?
A LaTex expression showing y=1 over 3 x + 1
a A LaTex expression showing y=3x + 3
b A LaTex expression showing y=-3x + 3
c A LaTex expression showing y=-1 over 3 x + 3
d A LaTex expression showing y=-3 over 2 x + 3