Question

What is the slope intercept form of the line passing through `(3,11)` with a slope of `-1/2`?

Answer 1

`y = -1/2x + 12 1/2`

Explanation:

Slope-intercept form is y = mx + b.

We can input -1/2 as our m value, giving us `y = -1/2x+b`

All we need is to find our b value, which can be done by using the given point as our x and y values in the equation and finding the necessary b value.

`11 = (-1/2 * 3) + b`
`11 = -3/2 + b`
`12 1/2 = b`

With that final value, we can finish our equation.

`y = -1/2x + 12 1/2`