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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Math worksheet on 'Slope of a Line Through Origin - Select Linear Equation Based on Graph (Level 2)'. Part of a broader unit on 'Line Equations and Graphing - Intro' Learn online: app.mobius.academy/math/units/line_equations_and_graphing_intro/
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 = 0.8x
b A LaTex expression showing y = -1.2x + 1.5
c A LaTex expression showing y = -0.2x - 1.5
d A LaTex expression showing y = 2.3x + 1.5
e A LaTex expression showing y = -0.7999990785703097
2
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 = 3.33x
c A LaTex expression showing y = 2.33x + 1.5
d A LaTex expression showing y = -3.3333435714724486
e A LaTex expression showing y = 4.83x
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 = -1.17x + 1.5
b A LaTex expression showing y = 0.83x
c A LaTex expression showing y = 1.83x
d A LaTex expression showing y = 2.83x - 1.5
e A LaTex expression showing y = -0.67x
4
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 = 2.83x + 1.5
b A LaTex expression showing y = -2.333336916676521
c A LaTex expression showing y = 2.33x
d A LaTex expression showing y = -2.33x
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 = 1.29x
b A LaTex expression showing y = 3.29x - 1.5
c A LaTex expression showing y = 1.79x + 1.5
d A LaTex expression showing y = -1.2857125932946336
e A LaTex expression showing y = 0.79x + 1.5
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 = 2.4x + 1.5
b A LaTex expression showing y = -0.4000018428593806
c A LaTex expression showing y = 0.4x
d A LaTex expression showing y = 0.9x - 1.5
7
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 = 4.5x - 1.5
b A LaTex expression showing y = 3.5x + 1.5
c A LaTex expression showing y = 4x - 1.5
d A LaTex expression showing y = 3.5x
Slope of a Line Through Origin - Select Linear Equation Based on Graph (Level 2) - Mobius Math