Question

Which is the graph of y – 3 = (x + 6)?

Answer 1

Which what ?  There are no choices to pick anything from.

If we can massage the equation to get ' y ' all alone on one side and everything else on the other side, then we can read the slope and y-intercept right from the equation.  Let's do it.

You said  

y - 3 = x + 6

Add 3 to each side:

y = x + 9

And there we have it.

The graph is a straight line.  Its slope is 1, and it crosses the y-axis at the point where y=6.

Answer 2

ANSWER

See graph in attachment

EXPLANATION

The given equation is

$y - 3 = (x + 6)$

This is an equation of a straight line in the point slope form:

$y-y_1=m(x-x_1)$

Hence this is an equation of a straight line with slope 1 and passes through:

(-6,3).

See graph in attachment.