Question

* I'll answer your questions pertaining to English, Psych, and Philosophy if you help me with mine?

What is the equation of the line passing through (-6, 1) and perpendicular to the line y = -3x + 1 in slope-intercept form?

a.) y = 3x + 4
b.) y= 1/3 x +3
c.) y = -3x - 6
d.) y= -1/3 x - 5

Answer 1

perpendicular to a line with slope \(-3\) means slope will be \(\frac{1}{3}\) the "negative reciprocal"
there is only one choice of answer with slope \(\frac{1}{3}\)

Answer 2

i.e. it is B

no need for further computation

Answer 3

Wait how did the negative reciprocal come to mind there?

Answer 4

Viewing the problem I didn't even come across that thought

Answer 5

I got b without the negative r

Answer 6

Math is so complicated, how do you know this so well.....?

Answer 7

because i know that if a line with slope \(m_1\) is perpendicular to a line with slope \(m_2\) then
\[m_1m_2=-1\] i.e.
\[m_1=-\frac{1}{m_2}\] and
\[m_2=-\frac{1}{m_1}\]

Answer 8

OHHHHHH it's asking for perpendicular, so the opposite....yes?

Answer 9

Now i understand

Answer 10

you have to know this to do the question.
to find the equation of a line you need a slope and a point
if you are not given the slope, you have to find it somehow

Answer 11

\[m_1m_2=-1\]Where did this come from @satellite73

Answer 12

@wio I think he is referring to the negative reciprocal

Answer 13

I know the negative reciprocal, but he used that to show the negative reciprocal, not the other way around.

Answer 14

You're right, I saw it as how it should've been

Answer 15

Minor mistake on his part