Answer:
Step-by-step explanation:
you want to use the slope intercept formula, and you may as well remember this, you'll need it often
y = mb + b
where m = the slope of the line. and is , for later math , the derivative :) any way
perpendicular means going perfectly across, and also the slope is a reciprocal of the line we are going orthogonal to ( another way of saying perpendicular, but more for 3D things. )
y = 1/3 x - 3
we want the 1/3 and then the reciprocal so 3/1 or just 3 and then the negative of that so -3 :)
now use the point given (3,2) to choose where the ling passes thur the y axis. so when x=3 , then y = 2, use the point slope formula
y - y1 = m(x-x1)
now plug in the given point and the slope that was figured out
y-2 =-3(x-3) (distribute the 3 and move the 2 over )
y = -3x +9 +2
y = -3x +11
that's a perfectly fine perpendicular line to the given line.
