Question

Which of the following is parallel to 8x+3y=1?

1. 3x-8y=1
2.3x+8y=5
3. 8x-3y=2
4.16x+6y=1

Answer 1

4.16x+6y=1

Explanation:

The given equation of the line is:

8x + 3y = 1

From this line, we need to re-arrange and write in the form of the equation of a straight line.

The equation of a straight line is given as:

y = mx + c

8x + 3y = 1

3y = -8x + 1

y =
`(-8x)/(3)` +
`(1)/(3)`

The slope of the line is
`(-8)/(3)`

Any line from the given choices that will be parallel to the is must have the same slope as it is.

That line is 16x + 6y = 1

6y = -16x + 1

y =
`(-16x)/(6)` +
`(1)/(6)`

y =
`(-8x)/(3)` +
`(1)/(6)`