Question 1095985
slope of 2x+3y=21
3y=-2x+21
y=(-2x/3)+7; slope is -2/3
perpendicular line has a slope that is the negative reciprocal, or in this instance 3/2
It goes through (-3, 9)
point slope formula
y-y1=m(x-x1), m is slope, (x1, y1) point
y-9=(3/2)(x+3), watch signs.
y=(3/2)x+9/2+9
y=(3x/2)+27/2
{{{graph(300,300,-20,20,-20,20,(-2x/3)+7,(3x/2)+(27/2))}}}