This math topic focuses on understanding the concept of slopes and perpendicular lines in the context of line equations. The main skill practiced is determining the equation of a line in standard form that is perpendicular to another given line depicted graphically. Students must analyze graphs, calculate the negative reciprocal of the line's slope (since perpendicular slopes are negative reciprocals of each other), and then format their answer in standard form. The problems progressively challenge the student to apply these skills across various line scenarios, enhancing their comprehension of line relationships and equation formulation.

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

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Slope - Find Perpendicular - Graph to Standard Form

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

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Slope - Find Perpendicular - Graph to Standard Form Worksheet

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Math worksheet on 'Slope - Find Perpendicular - Graph 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
An svg image showing a math problem
What line equation in standard form would have a slope that is PERPENDICULAR to the slope of the line on this graph?
a A LaTex expression showing -0.2x + 1y = 3.2
b A LaTex expression showing 0.4x + 2y = 6.4
c A LaTex expression showing 15x + 3y = 9.6
d A LaTex expression showing 0.1x + 1y = 3.2
2
What line equation in standard form 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 -1.5x + 1y = 3
b A LaTex expression showing 9x + 3y = 9
c A LaTex expression showing -1x + 3y = 9
d A LaTex expression showing -3x + 1y = 3
3
What line equation in standard form 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 -3x + 3y = 3
b A LaTex expression showing 3x + 3y = 3
c A LaTex expression showing 1.5x + 3y = 3
4
An svg image showing a math problem
What line equation in standard form would have a slope that is PERPENDICULAR to the slope of the line on this graph?
a A LaTex expression showing -4x + 2y = 2
b A LaTex expression showing -12x + 3y = 3
c A LaTex expression showing -0.25x + 1y = 1
d A LaTex expression showing 12x + 3y = 3
5
An svg image showing a math problem
What line equation in standard form would have a slope that is PERPENDICULAR to the slope of the line on this graph?
a A LaTex expression showing -0.5x + 2y = 2
b A LaTex expression showing -8x + 2y = 2
c A LaTex expression showing 0.75x + 3y = 3
d A LaTex expression showing -0.13x + 1y = 1
6
What line equation in standard form 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 -0.2x + 1y = 3
b A LaTex expression showing 0.6x + 3y = 9
c A LaTex expression showing -5x + 1y = 3
d A LaTex expression showing -0.2x + 2y = 6
7
What line equation in standard form 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 -2.5x + 1y = 3
b A LaTex expression showing -15x + 3y = 9
c A LaTex expression showing 5x + 1y = 3
d A LaTex expression showing -0.2x + 1y = 3