Question

What is the slope-intercept form of the line passing through `(6, 1)` and `(4, 5)`?

Answer 1

`y=-2x+13`

Explanation:

Slope-intercept form: y=mx+b, where m is the slope and b is the y-intercept

Finding the slope using 2 points:

`(y_2-y_1)/(x_2-x_1) rarr` Divide the difference of the y coordinates by the difference of the x coordinates

`(5-1)/(4-6)`

`4/-2`

`-2 rarr` This is the slope.

Our equation is currently `y=-2x+b`

To find b, let's plug in one of the coordinates.

`1=-2*6+b`

`1=-12+b`

`b=13`

Our equation is: `y=-2x+13`