This math topic covers finding line equations that are perpendicular to a given slope, focusing on transforming a decimal slope to the slope-intercept form. The main skill practiced is identifying the slope that is perpendicular to a given slope, either as a whole number or a decimal, and then formulating the corresponding line equation in y-intercept form. The problems provide multiple equations for students to choose the correct perpendicular slope from various options, enhancing their understanding of slopes and perpendicular lines within coordinate geometry.

Work on practice problems directly here, or download the printable pdf worksheet to practice offline.

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

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


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

m=-2

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

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Math worksheet on 'Slope - Find Perpendicular - Decimal Slope 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 this slope?
m=1
a A LaTex expression showing y=-1x + 1
b A LaTex expression showing y=1 over 2 x + 1
c A LaTex expression showing y=1x + 1
2
What line equation would have a slope that is PERPENDICULAR to this slope?
m=4
a A LaTex expression showing y=4 over 2 x + 2.25
b A LaTex expression showing y=1 over 4 x + 2.25
c A LaTex expression showing y=-4x + 2.25
d A LaTex expression showing y=-1 over 4 x + 2.25
3
What line equation would have a slope that is PERPENDICULAR to this slope?
m=-2
a A LaTex expression showing y=2x + 2
b A LaTex expression showing y=1 over 2 x + 2
c A LaTex expression showing y=-1 over 2 x + 2
d A LaTex expression showing y=-2 over 2 x + 2
4
What line equation would have a slope that is PERPENDICULAR to this slope?
m=-3
a A LaTex expression showing y=-3 over 2 x + 1
b A LaTex expression showing y=-1 over 3 x + 1
c A LaTex expression showing y=3x + 1
d A LaTex expression showing y=1 over 3 x + 1
5
What line equation would have a slope that is PERPENDICULAR to this slope?
m=-1
a A LaTex expression showing y=-1x + 3
b A LaTex expression showing y=-1 over 2 x + 3
c A LaTex expression showing y=1x + 3
6
What line equation would have a slope that is PERPENDICULAR to this slope?
m=-0.5
a A LaTex expression showing y=1 over 2 x + 1
b A LaTex expression showing y=2x + 1
c A LaTex expression showing y=-2x + 1
d A LaTex expression showing y=2 over 2 x + 1
7
What line equation would have a slope that is PERPENDICULAR to this slope?
m=0.2
a A LaTex expression showing y=-5 over 2 x + 5
b A LaTex expression showing y=5x + 5
c A LaTex expression showing y=-1 over 5 x + 5
d A LaTex expression showing y=-5x + 5