Question

How do you write `4x+2y=0` into slope intercept form?

Answer 1

`y = color(red)((-2))x+color(blue)(0)` with a slope of `color(red)((-2))` and a y-intercept of `color(blue)(0)`

Explanation:

The general slope-intercept form is:
`color(white)("XXXX")` `y = mx +b`

`4x+2y= 0` can be converted into this form fairly simply:

Subtract `4x` from both sides
`color(white)("XXXX")` `2y = -4x`

Divide both sides by 2
`color(white)("XXXX")` `y = (-2)x`

To be explicit in our slope-intercept form we still need to specify "`b`"
`color(white)("XXXX")` `y = (-2)x+0`