This math topic focuses on identifying equations of lines that are perpendicular to given line equations. It covers converting equations from zero-intercept form to y-intercept form, emphasizing the understanding of slope as it relates to perpendicularity among linear equations. The skills practiced include finding the negative reciprocal of a given slope to establish the slope of the perpendicular line, and applying this concept in various scenarios with different initial line equations.

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

more
View

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

Mobius Math Academy logo
Slope - Find Perpendicular - Slope Zero Intercept 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 y=3x
a A LaTex expression showing y=3 over 2 x + 3.33
b A LaTex expression showing y=-3x + 3.33
c A LaTex expression showing y=1 over 3 x + 3.33
d A LaTex expression showing y=-1 over 3 x + 3.33
2
What line equation would have a slope that is PERPENDICULAR to the slope of this line equation?
A LaTex expression showing y=4x
a A LaTex expression showing y=-4x + 3.25
b A LaTex expression showing y=-1 over 4 x + 3.25
c A LaTex expression showing y=4 over 2 x + 3.25
d A LaTex expression showing y=1 over 4 x + 3.25
3
What line equation would have a slope that is PERPENDICULAR to the slope of this line equation?
A LaTex expression showing y=1x
a A LaTex expression showing y=1x + 2
b A LaTex expression showing y=-1x + 2
c A LaTex expression showing y=1 over 2 x + 2
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
a A LaTex expression showing y=-5x + 5
b A LaTex expression showing y=-1 over 5 x + 5
c A LaTex expression showing y=-5 over 2 x + 5
d A LaTex expression showing y=5x + 5
5
What line equation would have a slope that is PERPENDICULAR to the slope of this line equation?
A LaTex expression showing y=-1x
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
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
a A LaTex expression showing y=3x + 3
b A LaTex expression showing y=-3x + 3
c A LaTex expression showing y=-3 over 2 x + 3
d A LaTex expression showing y=-1 over 3 x + 3
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 5 x
a A LaTex expression showing y=-5x + 2
b A LaTex expression showing y=5x + 2
c A LaTex expression showing y=5 over 2 x + 2
d A LaTex expression showing y=1 over 5 x + 2
8
What line equation would have a slope that is PERPENDICULAR to the slope of this line equation?
A LaTex expression showing y=-2x
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