95.9k views
0 votes
Prove that the following lines are parallel to each other.

3x+4y-7=0 and 6x+8y-11=0

(plzz do in process )


2 Answers

2 votes

Answer:

Yes, they are paralle.

Explanation:

Prove that the following lines are parallel to each other. 3x+4y-7=0 and 6x+8y-11=0 (plzz-example-1
User Jazzmin
by
5.6k points
6 votes

Explanation:

Hey there!

Here;

The equations are:

3x + 4y - 7 = 0.............(I)

6x + 8y -11 = 0.........(ii)

Let's simply work with this.

From equation (I)


slope(m) = ( - coeff.of \: x)/(coeff.of \: y)


m1 = ( - 3)/(4)

From equation (ii)


slope(m2) = ( - coeff. \: of \: x)/(coeff. \: of \: y)


m2 = ( - 6)/(8)


m2 = ( - 3)/(4)

As per the condition of parallel lines;

M1 = M2

-3/4 = -3/4. (true)

Therefore, the lines are parallel to eachother.

Hope it helps...

User Pratik Tank
by
4.8k points