Question

How do you write the equation `y-1=-2(x-5)` in slope intercept form?

Answer 1

Distribute the `-2` to the `x` and `-5`, add `1` to both sides of the equation.

Explanation:

Remember, slope-intercept form is represented as y=mx+b

Start on the right side of the equation, and distribute the `-2`.
`-2` times `x= -2x` and `-2(-5)=10`.

Now we have the equation `y-1= -2x+10`. The only thing left to do is add `1` to both sides of the equation so that the variable y is the only thing on the left side of the equation.

On the left hand side, the `-1` and `+1` will cancel each other out, leaving the variable `y`. On the right hand side, add `1` to the `10` only, to get `11`**.

`y=-2x+11`

We have obtained an equation in slope intercept form (y=mx+b), where `m=-2 and b=11`.