Y = -3/2x + 4...slope is -3/2 A perpendicular line will have a negative reciprocal slope. All that means is " flip " the slope and change the sign. So that means the slope we will need is 2/3...see how I flipped the slope and changed the sign. Now we use y = mx + b....slope(m) = 2/3....(3,9)...x = 3 and y = 9. Time to sub...we r looking for b, the y intercept.
9 = 2/3(3) + b 9 = 2 + b 9 - 2 = b 7 = b
so the perpendicular equation is : y = 2/3x + 7...but we need it in Ax + By = C form.... y = 2/3x + 7....multiply by common denominator of 3 to get rid of fractions 3y = 2x + 21...subtract 2x from both sides -2x + 3y = 21....<== ur answer...normally, I would have multiplied this by -1 to make x positive...but that is not an answer choice
