Graphing Proportional Relationships Practice
Complete this assessment to review what you've learned. It will not count toward your grade.
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Question
Use the image to answer the question.
An illustration shows a coordinate plane with 4 quadrants. The x-axis ranges from negative 9 to 9 in one unit increments, and the y-axis ranges from negative 11 to 11 in one unit increments. A line is graphed on the plane. An upward slanting line passes through points plotted at left parenthesis 3 comma 1 right parenthesis, left parenthesis 6 comma 2 right parenthesis, and left parenthesis 9 comma 3 right parenthesis.
Write the equation of the line y=mx through the origin that describes the proportional relationship shown in the graph.
(1 point)
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Since the line passes through the origin, the y-intercept is 0.
To find the slope of the line, we can use the formula for slope which is (y2 - y1) / (x2 - x1).
We can choose any two points on the line to find the slope. Let's choose the points (3, 1) and (6, 2).
Substituting the coordinates into the formula for slope, we get (2 - 1) / (6 - 3) = 1/3.
Therefore, the equation of the line y=mx is y = (1/3)x.