Question

Given the linear equation 2x+3y-8=0, write another linear equation in two variable such that the geometrical representation of the pair so formed is:
(a) intersecting lines
(b) parallel lines
(c) coincident lines

Its my request
(I request to plz send me fast because day after is my math exam so kindly solve and plz also do the graph.)

Answer 1

In given equation, P(x)= 2x+3y-8=0; a=2, b=3, c=-8

A) Intersecting lines: -  a1/a1 is not equal to b1/b2
So, the other equation will be,  3x+3y-8=0

B) Parallel lines: - a1/a2 = b1/b2 is not equal to c1/c2
So, the other equation will be, 2x+3y-4=0

C) Coincident lines: - a1/a2 =b1/b2=c1/c2
So, the other equation will be, 4x+6y-16=0 or 2x+3y-8=0