Question

Another Question!

Answer 1

first, find the negative reciprocal of that slope
-3/2

Answer 2

2/-3?

Answer 3

\[m_p= (\frac{ -1 }{ 1 })*(\frac{ 2 }{ -3 })=\frac{ 2 }{ 3 }\]

Answer 4

where m is the slope and p is the perpendicular, mp is the perpendicular slope

Answer 5

the perpendicular slope is 2/3

Answer 6

now, let's use the point slope formula
\[y-y_1=m(x-x_1)\]
and plug in the slope and the given passing point
m=2/3
x1= 3
y1= 9

Answer 7

is it B?

Answer 8

\[y-y_1=m(x-x_1)\]
\[y-9=\frac{ 2 }{ 3 } (x-3)\]
\[y-9=\frac{ 2 }{ 3 }*x - (\frac{ 2 }{ 3 }*3) \] i distributed 2/3 with x and 3

Answer 9

\[y-9=2/3x-6/3\]
now add 9 to both sides
\[y-9+9=2/3x-(6/3 )+9\]

Answer 10

ok

Answer 11

\[y=\frac{ 2 }{ 3 }x-\frac{ 6 }{ 3 }+9= \frac{ 2 }{ 3 }x-\frac{ 6 }{ 3 }+\frac{ 27 }{ 3}\]

Answer 12

\[y=\frac{ 2 }{ 3 }x+\frac{ 21 }{ 3 }\]
\[y=\frac{ 2 }{ 3 }x+7\] answer

Answer 13

thats not a choice??

Answer 14

oh i see, that's because you need to convert the equation into the y=mx+b to see if they all equal to the answer i stated above. Here, i'll do it

Answer 15

you need to put it in standard form Ax + By = C

Answer 16

y = 2/3x + 21/3 -- multiply this by 3
3y = 2x + 21 -- subtract 2x from both sides
-2x + 3y = 21
I would have made x positive by multiplying it by -1, but when I do that, it turns the line to : 2x - 3y = -21 and that is not an answer choice.
So your answer is : -2x + 3y = 21