Question

How do you write the equation `y-2=1/3(x+5)` in slope intercept and standard form?

Answer 1

`y=1/3x+15/3`

Explanation:

Given:`color(brown)(" "y-2=1/3(x+5))`

Add `color(blue)(2)` to both sides

`color(brown)(y-2color(blue)(+2)=1/3(x+5)color(blue)(+2))`

Multiply out the bracket

`y+0=1/3x+5/3+2`

`y=1/3x+15/3`