Question

Which of the following us the equation of a line perpendicular to the line

y=-3/2x+4 passing through the point (3,9)

A. 2x-3y=21
B. -2x+3y=21
C. 2x+3y=21
D. -2x-3y=-21

Answer 1

equation of a line
\[y - y_1 = m(x-x_1)\]
given point (3,9)
\[y-9 = m(x-3)\]
where m is slope perpendicular to -3/2 ----> take opposite reciprocal
\[y-9 = \frac{2}{3} (x-3)\]
\[y = \frac{2}{3} x +7\]
\[3y = 2x + 21\]

Answer 2

So A?

Answer 3

It was B