Question 111907
The first thing to realize is that lines are parallel if and only if their slopes are equal.  Conveniently, the given line is already in slope-intercept form {{{y=mx+b}}}, so we can tell directly that the slope of the desired line is 5.


Knowing the slope of a line and a point that is not a y-intercept, we can use the point-slope form of a line to derive the desired equation:


{{{(y-y[1])=m(x-x[1])}}}


Now all we have to do is plug in the x and y values from the given point to obtain:


{{{y-0=5(x-5)}}}, and then simplify:


{{{y=5x-25}}}


Note that the answer checks because the derived line and the given line have equal slopes, therefore they are parallel, and if you substitute 5 (the x-coordinate of the given point) into the derived equation, you get y=0, (the y-coordinate of the given point).