To find the equation of the line, we need to determine the slope, m.
The slope of a line can be found using the formula:
m = (change in y) / (change in x)
From the points given, we can see that as x increases by 1 unit (from 1 to 2), y increases by 4 units (from 4 to 8).
So, the change in y is 4 and the change in x is 1.
Therefore, the slope (m) is:
m = 4/1 = 4
As the line passes through the origin (0,0), we can substitute the slope (m) into the equation y = mx.
So, the equation of the line is:
y = 4x
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 4 right parenthesis and left parenthesis 2 comma 8 right parenthesis.
Find 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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