To find the equation of the line in the form y = mx through the origin, we need to calculate the slope (m) using the two points given: (1, 5) and (2, 10).
First, calculate the slope using the formula:
m = (y2 - y1) / (x2 - x1)
m = (10 - 5) / (2 - 1)
m = 5 / 1
m = 5
So, the slope of the line is 5.
Now, plug the slope into the equation y = mx:
y = 5x
Therefore, the equation of the line through the origin is y = 5x.
Graphing Linear Equations Unit Test
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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 1 comma 5 right parenthesis and left parenthesis 2 comma 10 right parenthesis.
The graph shows the proportional relationship. Derive the equation of the line y=mx through the origin.
(1 point)
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