To find the equation of the line, we need to determine the slope, m.
The slope is determined by the change in y divided by the change in x. It can be calculated using the coordinates of the two points (1,4) and (2,8):
m = (8 - 4) / (2 - 1)
m = 4 / 1
m = 4
So, the equation of the line y = mx through the origin 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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To find the equation of the line, we need to determine the slope, m.
The slope is determined by the change in y divided by the change in x. It can be calculated using the coordinates of the two points (1,4) and (2,8):
m = (8 - 4) / (2 - 1)
m = 4 / 1
m = 4
Thus, the slope of the line is 4.
Since the line passes through the origin (0,0), the equation of the line y = mx through the origin is y = 4x.
To find the equation of the line, we need to determine the slope, m.
The slope is determined by the change in y divided by the change in x. It can be calculated using the coordinates of the two points (1,4) and (2,8):
m = (8 - 4) / (2 - 1)
m = 4 / 1
m = 4
Thus, the slope of the line is 4.
Since the line passes through the origin (0,0), the equation of the line y = mx through the origin is y = 4x.