Question

What is the slope-intercept form of the line passing through `(0, 6)` and `(3, -2)`?

Answer 1

`y=-8/3+6`

Explanation:

Using the slope formula: `(y2 - y1)/(x2 - x1)`
You should choose the first coordinate point to be `(x1, y1)` and the other to be `(x2, y2)`
So `(-2 - 6)/(3 - 0)` will give you the slope `m`
Now you need to put the slope and one of the given points into slope-intercept form.
if `m=-8/3` you can solve for `b` in `y=mx+b`
Inserting the point `(0, 6)` we get
`6=-8/3(0)+b`
So, `b=6`
You can check this using the other point and plug in `b`.
`-2=-8/3(3)+6?`
Yes, because this equation is true, `b=6` must be the correct y-intercept.
Therefore, our equation is `y=-8/3+6`