Question

Without drawing graph,show that lines representing the equations 6x-3y+10=0 and 2x-y+9=0 are parell to each other

Answer 1

Answer:

The slope (gradient) of a line ax+by+c=0 is -a/b (provided b≠0).

So the line 6x-3y+10=0 has slope -6/(-3) = 2

and the line 2x-y+9=0 has slope -2/(-1) = 2.

Since they have the same slope, they are parallel.

Answer 2

Slope m1 = m2 is the condition for parallel.

slope m1 = - coefficient of x/ coefficient of y
= -6/-3 = 2

slope m2 = -2/-1 = 2

THEREFORE, M1 = M2

THE EQUATIONS OF LINES ARE PARALLEL.