This math topic focuses on identifying the correct linear equation from a graph. It enhances skills in interpreting the slope and y-intercept of a line directly from its graphical representation. There are multiple choice questions where a graphical line is presented alongside various potential linear equations in slope-intercept form, and the task is to select the equation that accurately represents the line shown. This type of problem requires a solid understanding of how changes in the equation parameters affect the graphical output of a line on the Cartesian plane.

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

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Slope of a Line - Select Linear Equation Based on Graph Worksheet

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Slope of a Line - 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 = -2.17x + 8.5
b A LaTex expression showing y = 0.33x + 7
c A LaTex expression showing y = -7x - 0.33
d A LaTex expression showing y = 1.33x + 8.5
e A LaTex expression showing y = -1.67x + 8.5
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 = -2.25x
b A LaTex expression showing y = -0.25x
c A LaTex expression showing y = -0.25x + 1.5
d A LaTex expression showing y = 1.25x - 1.5
e A LaTex expression showing y = 0.25x
3
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 = 0.3x + 3
b A LaTex expression showing y = -3x - 0.3
c A LaTex expression showing y = -0.2x + 3
d A LaTex expression showing y = -2.2x + 1.5
e A LaTex expression showing y = -0.7x + 1.5
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 = -1.1x + 1.5
b A LaTex expression showing y = -0.4000018428593806
c A LaTex expression showing y = 1.9x - 1.5
d A LaTex expression showing y = 0.4x
e A LaTex expression showing y = -0.1x
5
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 = 0.1x + 3.5
b A LaTex expression showing y = -0.1x + 2
c A LaTex expression showing y = 0.1x + 2
d A LaTex expression showing y = -2x - 0.1
6
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 = 0.9x + 2.5
b A LaTex expression showing y = 0.4x + 1
c A LaTex expression showing y = -0.1x - 0.5
d A LaTex expression showing y = -0.4x + 1
e A LaTex expression showing y = -0.6x - 0.5
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 = 0.25x + 7.5
b A LaTex expression showing y = -0.25x + 9
c A LaTex expression showing y = 0.25x + 9
d A LaTex expression showing y = -0.75x + 10.5
e A LaTex expression showing y = 1.25x + 7.5
8
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 = 0.6x + 2
b A LaTex expression showing y = -2x - 0.6
c A LaTex expression showing y = -0.6x + 2
d A LaTex expression showing y = -0.9x + 0.5