Question

How do you write an equation in standard form given point (2,2) (0,-4)

Answer 1

The point-slope form:

`y-y_1=m(x-x_1)\\\\m=(y_2-y_1)/(x_2-x_1)`

We have the points (2, 2) and (0, -4). Substitute:

`m=(-4-2)/(0-2)=(-6)/(-2)=3\\\\y-2=3(x-2)`

The standard form:

`Ax+By=C`

`y-2=3(x-2)` use distributive property

`y-2=3x-6` add 6 to both sides

`y+4=3x` subtract y from both sides

`4=3x-y`

Answer: 3x - y = 4