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:

$y-3=\dfrac{1}{2}(x+6)$      use distributive property

$y-3=\dfrac{1}{2}x+3$       add 3 to both sides

$y=\dfrac{1}{2}x+6$        multiply both sides by 2

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

$-x+2y=12$      change the signs

$x-2y=-12$