This math topic focuses on determining the slope of a line through the origin. Specifically, students are tasked with selecting the correct linear equation based on given graphs. The skill of identifying the relationship between a line's graph and its algebraic representation (linear equations in various forms) is practiced extensively. Each question presents a graph and multiple choice answers consisting of various linear equations, and students must match the equation that accurately depicts the line shown in the graph. This is a practical exercise for understanding linear relationships and enhancing graph interpretation skills.

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 - Select Linear Equation Based on Graph Worksheet

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Slope of a Line Through Origin - Select Linear Equation Based on Graph
1
An svg image showing a math problem
Select the equation that would result in the line on the graph as shown
a A LaTex expression showing y = 1.83x
b A LaTex expression showing y = 0.83x
c A LaTex expression showing y = -0.67x
d A LaTex expression showing y = -1.17x + 1.5
e A LaTex expression showing y = 2.83x - 1.5
2
Select the equation that would result in the line on the graph as shown
An svg image showing a math problem
a A LaTex expression showing y = 4x - 1.5
b A LaTex expression showing y = 3.5x
c A LaTex expression showing y = 4.5x - 1.5
d A LaTex expression showing y = 3.5x + 1.5
3
An svg image showing a math problem
Select the equation that would result in the line on the graph as shown
a A LaTex expression showing y = 1.5x
b A LaTex expression showing y = -1.499996544646621
c A LaTex expression showing y = 1x
d A LaTex expression showing y = 1.5x + 1.5
4
Select the equation that would result in the line on the graph as shown
An svg image showing a math problem
a A LaTex expression showing y = 0.8x
b A LaTex expression showing y = 0.3x
c A LaTex expression showing y = 0.8x - 1.5
d A LaTex expression showing y = -0.8x
e A LaTex expression showing y = -0.7x - 1.5
5
An svg image showing a math problem
Select the equation that would result in the line on the graph as shown
a A LaTex expression showing y = 1.83x + 1.5
b A LaTex expression showing y = 2.33x + 1.5
c A LaTex expression showing y = -3.3333435714724486
d A LaTex expression showing y = 3.33x
e A LaTex expression showing y = 4.83x
6
An svg image showing a math problem
Select the equation that would result in the line on the graph as shown
a A LaTex expression showing y = 1.29x + 1.5
b A LaTex expression showing y = 0.29x - 1.5
c A LaTex expression showing y = 0.29x
d A LaTex expression showing y = -0.29x
e A LaTex expression showing y = -1.71x + 1.5
7
An svg image showing a math problem
Select the equation that would result in the line on the graph as shown
a A LaTex expression showing y = -0.1428584591852718
b A LaTex expression showing y = 1.64x
c A LaTex expression showing y = 0.14x
d A LaTex expression showing y = -0.36x - 1.5
8
An svg image showing a math problem
Select the equation that would result in the line on the graph as shown
a A LaTex expression showing y = -4.500020732263548
b A LaTex expression showing y = 4x - 1.5
c A LaTex expression showing y = 4.5x
d A LaTex expression showing y = 5x