Question

What is the equation of the line passing through `(3,9)` and `(10,6)`?

Answer 1

`y=-x+12`

Explanation:

First, find the slope of the line using the equation `(y_2-y_1)/(x_2-x_1)`
`(6-9)/(6-3)=`
`-3/3=`
`-1`
Now plug it into the slope-intercept formula `y=mx+b`
`y=-x+b`
To find the value of b, plug in the first coordinate pair for `x` and `y`
`9=-3+b`
`b=12`
The equation is `y=-x+12`