Write the point-slope form of the equation of the line that passes through the origin and has a slope of 2. Include your work in your final answer. Type your answer in the box provided to submit your solution.
Question
Write the point-slope form of the equation of the line that passes through the origin and has a slope of 2. Include your work in your final answer. Type your answer in the box provided to submit your solution.
Solution 1
The point-slope form of a linear equation is given by:
y - y1 = m(x - x1)
where (x1, y1) is a point on the line and m is the slope of the line.
In this case, the line passes through the origin (0,0) and has a slope of 2. So, we can substitute x1 = 0, y1 = 0, and m = 2 into the equation to get:
y - 0 = 2(x - 0)
Simplifying this gives:
y = 2x
So, the point-slope form of the equation of the line that passes through the origin and has a slope of 2 is y = 2x.
Solution 2
The point-slope form of a line is given by the formula:
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 passes through the origin (0,0) and has a slope of 2. So, we can substitute these values into the formula:
y - 0 = 2(x - 0)
Simplifying this equation gives:
y = 2x
So, the point-slope form of the equation of the line that passes through the origin and has a slope of 2 is y = 2x.
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