Question

How do i solve and what is the answer

Answer 1

One and four are the correct answers.

Step-by-step expla

Answer 2

I and III

Explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y-intercept )

• Parallel lines have equal slopes

I y = 4x → m = 4

II

y = -
`(1)/(4)` x + 2 → m = -
`(1)/(4)`

III

rearrange 12x - 3y = 6 into slope- intercept form

subtract 12x from both sides

- 3y = - 12x + 6 ( divide all terms by - 3 )

y = 4x - 2 → m = 4

IV

rearrange into slope- intercept form

4(y + 6) = x - 3

4y + 24 = x - 3 ( subtract 24 from both sides )

4y = x - 27 ( divide all terms by 4 )

y =
`(1)/(4)` x -
`(27)/(4)` → m =
`(1)/(4)`

I and II have the same slope, hence are parallel lines