Question

What is the slope of a line parallel to the line with equation 2x+4y=8

Answer 1

m =
`(-1)/(2)`

Explanation:

To find the slope of most lines, we should rearrange the equation into the slope-intercept form or y = mx + b.

So,

2x + 4y = 8

4y = -2x + 8

`y=(-2x +8)/(4)`

`y=(-2)/(4)x+(8)/(4)`

`y=(-1)/(2)x+2`

The slope is the coefficient of the x term, so

m =
`(-1)/(2)`

Answer 2

`-(1)/(2)`

Explanation:

2x+4y=8

4y = -2x +8

y =
`-(2)/(4)`x +
`(8)/(4)`

y =
`-(1)/(2)`x + 2

y=mx+b so the slope is m=
`-(1)/(2)`.

parallel lines have the same slope.