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.

Answer: The point-slope form of the line that passes through the origin and is parallel to a line with a slope of 2 is y = 2x Solution: The point slope form of the line that passes through the points[tex]\left(x_{1} y_{1}\right)[/tex] and parallel to the line with slope “m” is given as  [tex]\bold{y - y_{1} = m\left(x - x_{1}\right)}[/tex]  --- eqn 1 where “m” is the slope of the line and [tex]\left(x_{1} y_{1}\right)[/tex] are the points that passes through the line. From question, given that slope = 2  Given that the line passes through the origin. i.e. [tex]\left(x_{1} y_{1}\right) = (0,0)[/tex] By substituting the values in eqn 1, the point slope form of the given line can be found out by, y – 0 = 2(x-0) y = 2x Hence the point-slope form of the line that passes through the origin and is parallel to a line with a slope of 2 is y = 2x