Line p contains points a(-1,4) and b(3,-5) lines q is parallel to line p. line r is perpendicular to line q. what is the slip of line r

The slope of line r is

Step-by-step explanation:

Given as :

The points that line p contains is A ( - 1 , 4 )  and  B ( 3 , - 5 )

Let The slope of line p =

So,   =

Or , =

Or, =

Now, Again ,

Line q is parallel to the line p

let The slope of line q  =  

So, for parallel lines

slope of lines are equal

I.e   =

∴  =

Again ,

Line r is perpendicular to the line q

let The slope of line r  =  

So, for perpendicular lines

The product of the slopes of two line = - 1

× = - 1

or, ×    = - 1

or,    =

∴   =  

So, The slope of line r =   =  

Hence , The slope of line r is  . Answer

step-by-step explanation: