Question

What is the slope-intercept form of `6x+3y=8`?

Answer 1

`y=-2x+8/3`

Explanation:

The slope-intercept form is
`color(white)("XXX")y=color(blue)(m)x+color(red)(b)`
for a linear equation with a slope of `color(blue)(m)` and a y-intercept of `color(red)(b)`

Given
`color(white)("XXX")6x+3y=8`

Subtract `6x` from both sides
`color(white)("XXX")3y=-6x+8`

Divide both sides by `3`
`color(white)("XXX")y=color(blue)(-2)x=color(red)(8/3)`