6. The equation of the line passing through the intersection of lines ax + by = c,bx + ay = c and having slope π / 2 is

Answer 1

ax + by = bx + ay

by - ay = by - ax

y(b - a) = x(b - a)

y = x

The intersection of the two lines is a line: y = x

It includes points such as (1,1), (2,2), (3,3). ... (n,n)

Using slope = (pi/2) and point (n,n)

(y - n) = (pi/2)(x - n)

Rearranging, we get:

y = (pi/2)x - n(pi/2) + n

y = (pi/2)x + n(1 - pi/2)