Question 135857
The first thing you need to determine is the slope of the given line.  So take the equation of the given line and solve it for y to put it into {{{y=mx+b}}} form.


The coefficient on x in the equation that you derived in the first step is the slope of the line represented by the given equation.  Since lines are parallel if and only if their slopes are equal, you know that the parallel line you are trying to define must have the same slope as the given line.


So, use the point slope form of a line, {{{y-y[1]=m(x-x[1])}}} substituting the slope value m from the first step and the x- and y-coordinates of the given point for {{{x[1]}}} and {{{y[1]}}}.


The last thing you need to do is to solve the resulting equation for y, i.e., manipulate the equation so that y with a coefficient of 1 is the only thing on the left side of the equation and everything else is on the right.