Question

How do you find the slope and y-intercept for the line `4x+2y=12`?

Answer 1

Slope: `(-2)`

Explanation:

Method 1
Given a linear equation in the general standard form
`color(white)("XX")Ax+By=C`
its slope is
`color(white)("XX")(-A/B)`
In this case
`color(white)("XX")(-4/2) = (-2)`

Method 2
Convert the given equation into slope-intercept form (`y=color(red)(m)x+b`).
In this case
`color(white)("XX")y=color(red)((-2))x+6`