This math topic focuses on identifying linear equations based on their slopes, specifically equations that represent lines passing through the origin (y-intercept of zero). Learners are provided with various equations and are instructed to select the one that matches a given slope, such as 0.63, 4.5, 0.44, 2.5, 0.22, 0.5, and 0.33. The practice involves a good understanding of how the slope dictates the direction and steepness of a line depicted on a graph. This helps in reinforcing the ability to recognize and write linear equations in slope-intercept form, fostering skills in line equations and graphing.

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

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Slope of a Line Through Origin Given Slope - Select Linear Equation Based on Slope Worksheet

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Slope of a Line Through Origin Given Slope - Select Linear Equation Based on Slope
1
An svg image showing a math problem
Select the equation that would result in the line shown with a slope of 0.38
a A LaTex expression showing y = 2.37x + 1.5
b A LaTex expression showing y = 1.87x + 1.5
c A LaTex expression showing y = -0.37499884821288704
d A LaTex expression showing y = 0.37x
e A LaTex expression showing y = 1.37x
2
An svg image showing a math problem
Select the equation that would result in the line shown with a slope of 0.8
a A LaTex expression showing y = 0.8x
b A LaTex expression showing y = -0.8x
c A LaTex expression showing y = -0.2x - 1.5
d A LaTex expression showing y = -0.2x + 1.5
e A LaTex expression showing y = -0.7999990785703097
3
Select the equation that would result in the line shown with a slope of 0.8
An svg image showing a math problem
a A LaTex expression showing y = 0.8x
b A LaTex expression showing y = 1.3x + 1.5
c A LaTex expression showing y = 0.3x - 1.5
d A LaTex expression showing y = -0.2x + 1.5
e A LaTex expression showing y = 0.8x - 1.5
4
Select the equation that would result in the line shown with a slope of 0.5
An svg image showing a math problem
a A LaTex expression showing y = 0.5x
b A LaTex expression showing y = -1.5x + 1.5
c A LaTex expression showing y = 2.5x - 1.5
d A LaTex expression showing y = 2x + 1.5
e A LaTex expression showing y = 1x
5
Select the equation that would result in the line shown with a slope of 0.2
An svg image showing a math problem
a A LaTex expression showing y = 1.7x - 1.5
b A LaTex expression showing y = -1.8x + 1.5
c A LaTex expression showing y = 0.2x - 1.5
d A LaTex expression showing y = 0.2x
e A LaTex expression showing y = 2.2x + 1.5
6
An svg image showing a math problem
Select the equation that would result in the line shown with a slope of 0.33
a A LaTex expression showing y = -0.17x - 1.5
b A LaTex expression showing y = 0.33x
c A LaTex expression showing y = 0.83x + 1.5
d A LaTex expression showing y = 0.83x - 1.5
e A LaTex expression showing y = 1.83x
7
Select the equation that would result in the line shown with a slope of 1.5
An svg image showing a math problem
a A LaTex expression showing y = 1.5x
b A LaTex expression showing y = -0.5x
c A LaTex expression showing y = -0.5x - 1.5
d A LaTex expression showing y = -1x + 1.5
e A LaTex expression showing y = 0.5x + 1.5
8
An svg image showing a math problem
Select the equation that would result in the line shown with a slope of 0.6
a A LaTex expression showing y = 0.6x
b A LaTex expression showing y = 0.1x
c A LaTex expression showing y = 1.6x + 1.5
d A LaTex expression showing y = 2.1x
e A LaTex expression showing y = -0.600002764289071