Question

How do you write the point slope form of the equation given (12,5) and m=-3?

Answer 1

`y-5=-3(x-12)`

Explanation:

The point-slope form of the equation of the line is usually written in formula form as `y-y_1=m(x-x_1)`

To find a specific line, replace the m with the value for the slope, here m = -3, and the coordinates of the point using the given coordinates, `(x_1,y_1)=(12,5)`.

Usually the brackets are removed and the equation rearranged.

Answer 2

`y=-3x+41`

Explanation:

The slope form is:
`y=mx+b`
`m` is already given:
`y=(-3)x+b`
Since you know one solution to the equation, you can put those `x` and `y` values into the equation to solve for `b`:
`(5)=-3(12)+b`
Multiply `12` and `-3`:
`5=-36+b`
Add `36` to both sides:
`36+5=b`
`41=b`
Substitute `b` into the slope formula and you're done:
`y=-3x+41`