Question

If the lines 2x+3y=1 and 4x+my=7 are parallel,then what is the value of m​

Answer 1

Given,

Equation of two parallel lines 2x+3y=1 and 4x+my=7.

To Find,

The value of m.

Solution,

Since the given two lines are parallel

So, they will have equal slopes.

Slope of 2x+3y = 1 is -2/3

Slope of 4x+my = 7 is -4/m

So,

-2/3 = -4/m

m = 6

Hence, the value of m is 6.

Answer 2

Given: Here we have two eqauations 2x+3y=1 and 4x+my=7

To find: Here we have to find the value of m

Solution:

Here first we will find the slopes of the given two lines

Slope of 2x+3y = 1 is -2/3

Slope of 4x+my = 7 is -4/m

as given they are parallel so there slopes will be equal

-2/3 = -4/m

m = 6

Final answer:

Hence, the value of m is 6.