Write the point-slope form of the line that passes through the origin and is parallel to a line with a slope of 2. Include all of your work in your final answer. Type your answer in the box provided to submit your solution.
The point-slope form of a linear equation is given by:
y - y1 = m(x - x1)
where m is the slope of the line and (x1, y1) is a point on the line.
In this case, the line passing through the origin has a point (0,0) on it. Since the line is parallel to a line with a slope of 2, the slope of the line passing through the origin will also be 2.
Using the point-slope form, we can substitute the values into the equation:
y - 0 = 2(x - 0)
Simplifying, we have:
y = 2x
Therefore, the point-slope form of the line passing through the origin and parallel to a line with a slope of 2 is y = 2x.