Question 29605
for the lines to be parallel, the slopes are the same.
{{{ y=-3x+6 }}}  the new line has a slope of -3 and point (2,6)
{{{ y=mx+b }}} plug the numbers in and solve for b
{{{ 6=-3(2)+b }}} multiply
{{{ 6=-6+b }}} add 6 to both sides
{{{ 12=+b }}} plug this number and the slope into the basic equation
{{{ y=-3x+12 }}} this is it