Question 173853
Rule 1: Parallel lines have equal slopes.


Your given equation is in slope-intercept form {{{y=mx+b}}}, so you can tell by inspection that the slope of the given line is 7.


Next you need to use the point-slope form of the line to find the desired equation.  The equation of a line with slope {{{m}}} passing through point ({{{x[1]}}},{{{y[1]}}}) is {{{y-y[1]=m(x-x[1])}}}, so just substitute the values you know, namely the slope, {{{m= blue(7)}}} and the coordinates of the given point: ({{{green(x[1])}}},{{{red(y[1])}}}) = ({{{green(8)}}},{{{red(7)}}}).


{{{cartoon(y-red(y[1])=blue(m)(x-green(x[1])),y-red(7)=blue(7)(x-green(8))))}}}



You should rearrange {{{y-7=7(x-8)}}}  by solving for y to put your equation for the desired line into slope-intercept form to match the given equation.  I'll leave that as an exercise for the student.