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
You just need to multiply the two numbers overlapping in the box. For B, the two numbers for that box are 30 and 7, therefore you must multiply them together to get 210. For C, the numbers are 90 and 5, when multiplied equals 450. Hope that helps!
