Question

11. Prove that the lines 12x - 5 y - 3 =0 is a parallel line
between the lines 12x - 5y + 7 = 0 and 12x - 5y-13 = 0.​

Answer 1

Answer:

5y= 12x - 3.......L1

or, y= 12/5 x - 3/5

therefore...slope of L1 is 12/5

5y= 12x+7........L2

or, y=12/5 + 7/5

therefore...slope of L2 is 12/5

5y= 12x-13........L3

or, y= 12/5 x - 13/5

therefore...slope of L3 is 12/5

SINCE ALL THE SLOPES ARE EQUAL...THE LINES ARE PARALLEL TO EACH OTHER.

HENCE PROVED

Step-by-step explanation:

when two or more lines are parallel, they have their slopes equal....so the only task in this question is to arrange the equations in the order:

y= mx + c

and m is your slope...in the given question the slopes of all the three lines are equal so boom you get your statement proved. Hope this helps....