Question

What is the slope-intercept form of the line passing through `(2, 2)` and `(-4, 1)`?

Answer 1

`y=1/6x+1 2/3`

Explanation:

Slope-intercept form: `y=mx+b`, where m represents sleep and b represents the y-intercept

First let's find the slope through two points:

`(y_2-y_1)/(x_2-x_1) rarr` Plug the points in

`(1-2)/(-4-2)`

`(-1)/(-6)`

Slope is `1/6`

Our current equation is `y=1/6x+b`. To find b, let's plug in one of the points (I'll use `(2, 2)`).

`2=1/6*2+b`

`2=1/3+b`

`b=1 2/3`

Our equation is `color(red)(y=1/6x+1 2/3`