Aline intersects the point (-3,-7) and has a slope of -1/3. what is the slope intercept equation for this line? y = -x/3 -[? ]

First, you can plug this into the point slope formula. you will have to do that before you can get the slope intercept form. Plug in what you know. m is slope, so plug in -1/3 for m. The point given can be plugged in to the formula also. This is what it should look like:

y + 7 = -1/3(x + 3) 

Note that the -3 and -7 become positive because it is subtracting negative numbers and 2 negatives make a positive.

Now distribute the -1/3 times x and 3. 

y + 7 = -1/3x - 1

Now to get y by itself, add 7 to both sides. 

y = -1/3x + 6

This is your y = -1/3x + 6