This math topic focuses on the concept of determining equations of lines that are parallel to a given line equation. The primary skills practiced include transforming line equations from standard form to slope-intercept form, and identifying the slope that ensures parallelism. Each problem presents a line in standard form and requires the learner to select the parallel line from multiple-choice answers in slope-intercept form. This set of problems is structured to enhance understanding of line slopes, equations, and their graphical implications in a coordinate plane.

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Slope - Find Parallel - Standard Form to Slope Y Intercept Form Worksheet

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Slope - Find Parallel - Standard Form to Slope Y Intercept Form
1
What line equation would have a slope that is PARALLEL to the slope of this line equation?
A LaTex expression showing -8x + 2y = 4
a A LaTex expression showing y=1 over 4 x + 2
b A LaTex expression showing y=4 over 2 x + 2
c A LaTex expression showing y=4x + 2
d A LaTex expression showing y=-4x + 2
2
What line equation would have a slope that is PARALLEL to the slope of this line equation?
A LaTex expression showing 12x + 3y = 12
a A LaTex expression showing y=-1 over 4 x + 4
b A LaTex expression showing y=-4x + 4
c A LaTex expression showing y=-4 over 2 x + 4
d A LaTex expression showing y=4x + 4
3
What line equation would have a slope that is PARALLEL to the slope of this line equation?
A LaTex expression showing -1x + 3y = 3
a A LaTex expression showing y=1 over 3 x + 1
b A LaTex expression showing y=-1 over 3 x + 1
c A LaTex expression showing y=-3 over 2 x + 1
d A LaTex expression showing y=3x + 1
4
What line equation would have a slope that is PARALLEL to the slope of this line equation?
A LaTex expression showing 0.5x + 1y = 0.5
a A LaTex expression showing y=2 over 2 x + 0.5
b A LaTex expression showing y=-2x + 0.5
c A LaTex expression showing y=1 over 2 x + 0.5
d A LaTex expression showing y=-1 over 2 x + 0.5
5
What line equation would have a slope that is PARALLEL to the slope of this line equation?
A LaTex expression showing -2x + 1y = 1
a A LaTex expression showing y=2 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=1 over 2 x + 1
6
What line equation would have a slope that is PARALLEL to the slope of this line equation?
A LaTex expression showing -9x + 3y = 3
a A LaTex expression showing y=1 over 3 x + 1
b A LaTex expression showing y=3x + 1
c A LaTex expression showing y=-3x + 1
d A LaTex expression showing y=3 over 2 x + 1
7
What line equation would have a slope that is PARALLEL to the slope of this line equation?
A LaTex expression showing -0.5x + 1y = 1
a A LaTex expression showing y=1 over 2 x + 1
b A LaTex expression showing y=-2 over 2 x + 1
c A LaTex expression showing y=2x + 1
d A LaTex expression showing y=-1 over 2 x + 1
8
What line equation would have a slope that is PARALLEL to the slope of this line equation?
A LaTex expression showing 15x + 3y = 15
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