Question 1023184
You are looking for the slope, which is the same as for the given equation, because both lines are to be parallel.


{{{ax+by=c}}} is easily put into slope-intercept form....
{{{by=-ax+c}}}
{{{y=-ax/b+c/b}}}
{{{highlight_green(y=highlight(-(a/b))x+c/b))}}}