This math topic focuses on understanding how to identify line equations that are parallel to a given line, represented graphically, and converting or verifying these equations in standard form. It helps to consolidate knowledge of slopes, graph interpretation, and algebraic manipulation in the context of linear equations. Each problem asks for the standard form of a line parallel to the one displayed in the graphic, offering multiple choices to deepen understanding of how slopes signify parallel lines.

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

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Slope - Find Parallel - Graph to Standard Form Worksheet

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Slope - Find Parallel - Graph to Standard Form
1
An svg image showing a math problem
What line equation in standard form would have a slope that is PARALLEL to the slope of the line on this graph?
a A LaTex expression showing 1x + 2y = 2
b A LaTex expression showing 3x + 3y = 3
2
An svg image showing a math problem
What line equation in standard form would have a slope that is PARALLEL to the slope of the line on this graph?
a A LaTex expression showing 0.5x + 3y = 10
b A LaTex expression showing 0.33x + 1y = 3.33
3
An svg image showing a math problem
What line equation in standard form would have a slope that is PARALLEL to the slope of the line on this graph?
a A LaTex expression showing -2x + 2y = 2
b A LaTex expression showing -2x + 1y = 1
4
An svg image showing a math problem
What line equation in standard form would have a slope that is PARALLEL to the slope of the line on this graph?
a A LaTex expression showing 0.67x + 2y = 6
b A LaTex expression showing 9x + 3y = 9
5
An svg image showing a math problem
What line equation in standard form would have a slope that is PARALLEL to the slope of the line on this graph?
a A LaTex expression showing 2x + 2y = 4
b A LaTex expression showing 6x + 3y = 6
6
An svg image showing a math problem
What line equation in standard form would have a slope that is PARALLEL to the slope of the line on this graph?
a A LaTex expression showing -1x + 1y = 1
b A LaTex expression showing -1x + 2y = 2
7
An svg image showing a math problem
What line equation in standard form would have a slope that is PARALLEL to the slope of the line on this graph?
a A LaTex expression showing 0.4x + 2y = 10
b A LaTex expression showing 5x + 1y = 5
8
An svg image showing a math problem
What line equation in standard form would have a slope that is PARALLEL to the slope of the line on this graph?
a A LaTex expression showing -2x + 2y = 4
b A LaTex expression showing 1x + 1y = 2