This math topic covers the identification of line equations in standard form that are perpendicular to given lines in slope-intercept form. The skills emphasized include understanding the relationship between the slopes of perpendicular lines and converting equations between y-intercept form (y = mx + b) and standard form (Ax + By = C). Each problem requires students to analyze the original slope, determine the perpendicular slope, and select the correct equation from multiple choices.

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

Complete these online problems with 80% or 4 correct answers in a row. Results are immediate.


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

y=13x+1y=\frac{1}{3}x + 1

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

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Math worksheet on 'Slope - Find Perpendicular - Slope Y Intercept Form to Standard Form (Level 1)'. Part of a broader unit on 'Slopes and Perpendiculars - Practice' Learn online: app.mobius.academy/math/units/line_equations_and_perpendiculars_practice/
1
What line equation in standard form would have a slope that is PERPENDICULAR to the slope of this line equation?
A LaTex expression showing y=1 over 4 x + 1
a A LaTex expression showing 2x + 1y = 4
b A LaTex expression showing 12x + 3y = 12
c A LaTex expression showing 0.75x + 3y = 12
d A LaTex expression showing -12x + 3y = 12
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 y=1 over 3 x + 1
a A LaTex expression showing -3x + 1y = 3
b A LaTex expression showing 1x + 3y = 9
c A LaTex expression showing 1.5x + 1y = 3
d A LaTex expression showing 6x + 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 y=-1 over 2 x + 2.5
a A LaTex expression showing -1.5x + 3y = 3
b A LaTex expression showing 6x + 3y = 3
c A LaTex expression showing -2x + 1y = 1
d A LaTex expression showing -2x + 2y = 2
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 y=1x + 1
a A LaTex expression showing 1x + 1y = 1
b A LaTex expression showing 2x + 2y = 2
c A LaTex expression showing 0.5x + 1y = 1
d A LaTex expression showing -2x + 2y = 2
5
What line equation in standard form would have a slope that is PERPENDICULAR to the slope of this line equation?
A LaTex expression showing y=5x + 2
a A LaTex expression showing 0.3x + 3y = 3.6
b A LaTex expression showing -0.6x + 3y = 3.6
c A LaTex expression showing 15x + 3y = 3.6
d A LaTex expression showing 0.6x + 3y = 3.6
6
What line equation in standard form would have a slope that is PERPENDICULAR to the slope of this line equation?
A LaTex expression showing y=1 over 5 x + 2
a A LaTex expression showing -5x + 1y = 5
b A LaTex expression showing 5x + 2y = 10
c A LaTex expression showing 10x + 2y = 10
d A LaTex expression showing 0.4x + 2y = 10
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 y=-5x + 5
a A LaTex expression showing -0.2x + 2y = 2
b A LaTex expression showing -0.4x + 2y = 2
c A LaTex expression showing 0.6x + 3y = 3
d A LaTex expression showing -15x + 3y = 3