This math topic covers the identification of line equations in standard form that are perpendicular to given lines in slope-intercept form. The skills emphasized include understanding the relationship between the slopes of perpendicular lines and converting equations between y-intercept form (y = mx + b) and standard form (Ax + By = C). Each problem requires students to analyze the original slope, determine the perpendicular slope, and select the correct equation from multiple choices.

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

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Slope - Find Perpendicular - Slope Y Intercept Form to Standard Form
1
What line equation in standard form would have a slope that is PERPENDICULAR to the slope of this line equation?
A LaTex expression showing y=-4x + 4
a A LaTex expression showing -0.25x + 1y = 3
b A LaTex expression showing -8x + 2y = 6
2
A LaTex expression showing y=1 over 3 x + 1
What line equation in standard form would have a slope that is PERPENDICULAR to the slope of this line equation?
a A LaTex expression showing 3x + 1y = 3
b A LaTex expression showing -6x + 2y = 6
3
What line equation in standard form would have a slope that is PERPENDICULAR to the slope of this line equation?
A LaTex expression showing y=3x + 3
a A LaTex expression showing 0.67x + 2y = 6.67
b A LaTex expression showing -1x + 3y = 10
4
A LaTex expression showing y=-2x + 2
What line equation in standard form would have a slope that is PERPENDICULAR to the slope of this line equation?
a A LaTex expression showing 1.5x + 3y = 3
b A LaTex expression showing -0.5x + 1y = 1
5
A LaTex expression showing y=1 over 2 x + 2
What line equation in standard form would have a slope that is PERPENDICULAR to the slope of this line equation?
a A LaTex expression showing 4x + 2y = 4
b A LaTex expression showing 2x + 2y = 4
6
A LaTex expression showing y=1 over 5 x + 2
What line equation in standard form would have a slope that is PERPENDICULAR to the slope of this line equation?
a A LaTex expression showing 0.6x + 3y = 15
b A LaTex expression showing 15x + 3y = 15
7
A LaTex expression showing y=1x + 1
What line equation in standard form would have a slope that is PERPENDICULAR to the slope of this line equation?
a A LaTex expression showing 3x + 1y = 12
b A LaTex expression showing 2x + 2y = 8
8
A LaTex expression showing y=1x + 3
What line equation in standard form would have a slope that is PERPENDICULAR to the slope of this line equation?
a A LaTex expression showing -2x + 1y = 2
b A LaTex expression showing 1x + 1y = 1