Question 813747
Line y=-2x-4, want line parallel to it, passing through (1,3).


Given line is in slope-intercept form, indicating slope is -2.  The slope of the line we want is also {{{-2}}}.


You have chose to continue the solution using Point-Slope form for a line, so I will do so also.


You already know that m is for slope.  Your point ({{{x[1]}}},{{{y[1]}}}) is the point (1,3).  You must KNOW now that m=-2.  Substitute and simplify:


{{{y-3=-2(x-1)}}}
{{{y-3=-2x+2}}}
{{{y=-2x+2+3}}}
{{{highlight(y=-2x+5)}}}---------Your Answer.




PARALLEL, PARALLEL, PARALLEL, PARALLEL,... Same Slope!