Question

Given the equation Y -3 equals 1/2 (X +6 )in point slope form identify the equation of the same line in standard form

Answer 1

The standard form of a line:

`Ax+By=C`

We have the equation of a line in the slope-point form:

`y-3=(1)/(2)(x+6)` use distributive property

`y-3=(1)/(2)x+3` add 3 to both sides

`y=(1)/(2)x+6` multiply both sides by 2

`2y=x+12` subtract x from both sides

`-x+2y=12` change the signs

`x-2y=-12`