Question

check my answers ..

Answer 1

Sorry it took awhile was on other question.
Btw your second picture is cut on the top but I guess it would be \(-\frac{5}{3}x \) there.
Well, the first seems fine, the "magic formula" for perpendicular slope is
\[
m_2 = - \frac{1}{m_1}
\]
Which leads to:
\[
m2 \cdot m1 = -\frac{1}{m_1} \cdot m_1 = - \frac{m_1}{m_1} = -1
\]
So product of 2 perpendicular slopes is -1, for your third question.
In second question you have to remember that if it was negative slope, then perpendicular one has to be positive..
Otherwise there is no way the product would be -1 as it would be positive.

If you want further explanations about the "magic formula" I'd love to explain hehe, but that's up to you.

Answer 2

yeah it is 5/3x and thanks

Answer 3

sure np

Answer 4

wait @pitamar what if the slopes are parallel ?

Answer 5

then this is the same slope hehe.
\[
y=mx+C
\]
Only the C changes for parallel lines (typo =| )

Answer 6

oh okay , thanks again

Answer 7

Well, again, if I would explain you the theory behind it then you could understand it all by yourself. But sometimes it's easier just to remember I guess

Answer 8

could you explain me the theory behind it ????

Answer 9

Sure, but I have to know what have you learned already, geometry I guess.. trigonometry I suppose not?
Just so I can make my explanation up to that