Question

find the equation of line perpendicular to 5x-2y=8 and which passes through the mid pont of the line joining (2,3)and(4,5)​

Answer 1

Answer:

midpoint so point is (3,4)

and they are perpendicular

slope m² is

5x-2y=8m¹=-a/b=-5/-2=5/2

and m¹*m²=-1

m²=-2/5

point slope form : required eq is 2x+5y=26