Answer:
point-slope form: 
slope-intercept form: 
Step-by-step explanation:
point-slope form is: y - y1 = m(x - x1)
slope-intercept form is: y = mx + b
The formula used to find the slope(m): 
(x1, y1) = (3, 3)
(x2, y2) = (-6, 6)
The first thing we need to do to write the equations is to find the slope. We can do this by inputting the given points into the slope formula:

Simplify:
6 - 3 = 3
-6 - 3 = -9

The slope is
. We can now write the equation in point-slope form:

To write the equation in slope-intercept form, we need to find the value of b. To find its value, input the value of the slope and one point into the equation for slope-intercept form:
y = mx + b
3 =
(3) + b
Now you can solve for b:
3 =
(3) + b
3 = -1 + b
4 = b
Now that we know the value of b, we can write the equation in slope-intercept form:

I hope this helps. :)