Which of the following is the equation of a line perpendicular to the line y=-3/2x+4 , passing through the point (3,9)?
(will post answer choices in a sec!!)

**Please explain!! thanks y'all :)

Question

Which of the following is the equation of a line perpendicular to the line y=-3/2x+4 , passing through the point (3,9)?
(will post answer choices in a sec!!)

**Please explain!! thanks y'all :)

anonymous · Answer

answer choices A,B,C,D (top to bottom)

jim_thompson5910 · Answer

the slope of y=-3/2x+4  is ???

anonymous · Answer

-3/2?

jim_thompson5910 · Answer

Flip the fraction to get -2/3

then flip the sign to get +2/3 or just 2/3

jim_thompson5910 · Answer

so the perpendicular slope is 2/3

anonymous · Answer

cuz perpendicular lines have opposite reciprocal slopes right?? so the slope's 2/3 :) did i get that right? the concept i mean?

jim_thompson5910 · Answer

you are absolutely correct

anonymous · Answer

so i need to solve each equation (in the answer choices) to see which has a slope of 2/3 ??

jim_thompson5910 · Answer

y = mx+b

y = 2/3x + b ... Plug in m = 2/3

9 = (2/3)(3) + b ... Plug in (3,9)

9 = 6/3 + b ... Multiply

9 = 2 + b

Keep going to solve for b

anonymous · Answer

so A is out cuz i did this.|dw:1348976512205:dw|