Question

Which value of m will create a system of parallel lines with no solution? y = mx – 6 8x – 4y = 12 m = Mark this and return

Answer 1

m = 2 will be the solution.

Explanation:

The given lines are y = mx - 6 and 8x - 4y = 12

we have to find the value of m for which the system will be of parallel lines will have no solution.

If these lines are parallel then their slope will be same and they will have no solution.

The equation of a line is

-4y = 12 - 8x

4y = 8x - 12

y = 2x - 3

This line is parallel to y = mx - 6

So slope of this line will be 2 which will be same as line parallel to this line.

Therefore slope m = 2 will be the solution.

Answer 2

The value of m is 2.

Explanation:

We are given equation of system of parallel lines as:

`y=mx-6`

that means m is the slope of the line and -6 is the y-intercept.

and
`8x-4y=12`

this equation could also be represented in the slope intercept form as:

`4y=8x-12\\\\y=(8)/(4)x-(12)/(4)\\\\y=2x-3`

Hence the slope is 2 and the y-inetrcept is -3.

we know that slope of parallel lines must be equal.

that means the value of m=2.

Hence the value of m which will create a system of parallel lines with no solution is 2.