This math topic involves identifying line equations that have slopes perpendicular to the slopes of given lines represented in a graph. The problems test understanding of the concept of perpendicularity in slopes, specifically, knowing how to determine the opposite reciprocal of a given slope and then formulating it into a line equation in slope-intercept form. Each question provides a graph of a line and multiple choices of equations, where the task is to pick the one representing a perpendicular line.

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

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Slope - Find Perpendicular - Graph to Slope Y Intercept Form
1
What line equation would have a slope that is PERPENDICULAR to the slope of the line on this graph?
An svg image showing a math problem
a A LaTex expression showing y=-3x + 2.33
b A LaTex expression showing y=1 over 3 x + 2.33
c A LaTex expression showing y=-1 over 3 x + 2.33
d A LaTex expression showing y=3 over 2 x + 2.33
2
What line equation would have a slope that is PERPENDICULAR to the slope of the line on this graph?
An svg image showing a math problem
a A LaTex expression showing y=-2 over 2 x + 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=2x + 2
3
What line equation would have a slope that is PERPENDICULAR to the slope of the line on this graph?
An svg image showing a math problem
a A LaTex expression showing y=-1 over 3 x + 1
b A LaTex expression showing y=-3 over 2 x + 1
c A LaTex expression showing y=1 over 3 x + 1
d A LaTex expression showing y=3x + 1
4
What line equation would have a slope that is PERPENDICULAR to the slope of the line on this graph?
An svg image showing a math problem
a A LaTex expression showing y=-5x + 2
b A LaTex expression showing y=5x + 2
c A LaTex expression showing y=1 over 5 x + 2
d A LaTex expression showing y=5 over 2 x + 2
5
What line equation would have a slope that is PERPENDICULAR to the slope of the line on this graph?
An svg image showing a math problem
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=3x + 1
6
What line equation would have a slope that is PERPENDICULAR to the slope of the line on this graph?
An svg image showing a math problem
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
7
What line equation would have a slope that is PERPENDICULAR to the slope of the line on this graph?
An svg image showing a math problem
a A LaTex expression showing y=1 over 4 x + 3
b A LaTex expression showing y=-4 over 2 x + 3
c A LaTex expression showing y=-1 over 4 x + 3
d A LaTex expression showing y=4x + 3
8
What line equation would have a slope that is PERPENDICULAR to the slope of the line on this graph?
An svg image showing a math problem
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