The coordinates of p and q are (2,6) and (4,5) respectively. equation of a line rs is y= 2x -3. determine if the lines are parallel or perpendicular

Perpendicular

Step-by-step explanation:

Given points P=(2,6) and Q=(4,5)

The line RS is y=2x-3.

Now we know that the line joining any two points (x1,y1) and (x2,y2) has slope m=

Now the slope of the line PQ is

m1== -

We know that  the slope of the line in the form y=mx+c is m

So the line RS has slope m2=2

Now two lines are parallel if m1=m2

And those two lines are perpendicular if

here m1= -    and m2=2

clearly

Therefore the two given lines are perpendicular