What is the slope of the line passing through the point (4, -2) and perpendicular to the line y=4x+2? Could possibly be written as a fraction... I think.

Question

ganeshie8 · Answer

start by finding the slope of "given" line

ganeshie8 · Answer

whats the slope of line "y = 4x+2" ?

anonymous · Answer

Would the slope of the line be 4?

ganeshie8 · Answer

yes!
next use below to calculate the slope of perpendicular line :-

ganeshie8 · Answer

if two lines are perpendicular, then product of slopes = -1

ganeshie8 · Answer

say, the requires slope is $m$ :-

$m \times  4 = -1$

ganeshie8 · Answer

that gives  

$\large   m = \frac{-1}{4}$

ganeshie8 · Answer

so the perpendicular line will have a slope of $\large  \frac{-1}{4}$

ganeshie8 · Answer

if that makes some sense.. .

anonymous · Answer

Oh wow, much easier to understand than I thought it would be.

anonymous · Answer

So its -1/4?  I wasn't sure if it would be a fraction.

ganeshie8 · Answer

yes, -1/4 is the required slope :)

anonymous · Answer

Thank you very much.

ganeshie8 · Answer

np..  u wlc :)