To find the equation of the line, we need to determine the slope and y-intercept of the line.
Slope (m) can be found by using the formula: m = (y2 - y1)/(x2 - x1), where (x1, y1) and (x2, y2) are any two points on the line.
Using the points (2, 1) and (4, 2), we have:
m = (2 - 1)/(4 - 2) = 1/2.
Now, let's use the slope-intercept form of a linear equation: y = mx + b, where m is the slope and b is the y-intercept.
Since the y-intercept is given as (0, 0), we know that b = 0.
Now we can substitute the values into the equation:
y = (1/2)x + 0.
Simplifying, we get:
y = 1/2x.
Therefore, the equation of the line is y = 1/2x, option A.
A graph has a its y-intercept at (0, 0) and it contains the points (2, 1) and (4, 2) and (5, 2.5) and (30, 15) what is the equation of the line?
A: y = 1/2x
B: y = 2x + 1
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