Question 134699
Well first we need to find the slope between those two points.  Remember the slope of the line is found using this formula:<br>

m = y2-y1/x2-x1 where, in this case:<br>

x1 = -3
y1 = -2
x2 = 4
y2 = -5<br>

so now we find the slope:<br>

m = -5 -(-2) / 4-(-3)
m = -5 + 2 / 4+3
m = -3 / 7<br>

now since we have a point(doesn't matter which of the given points you use) and the slope we use the point slope formula which is:<br>
 
y-y1 = m(x-x1)<br>

Now its just a matter of plug and chug to get the point-slop form of that line:
y - (-2) = -3/7(x-(-3))
y + 2 = -3/7(x + 3)<br>

Now we just solve for y to get the slope-interecept form of the line:
y = -3/7x - 9/7 - 2 
y = -3/7x -23/7<br>

Now to check to make sure the math is right(I do make mistakes sometimes)<br>

x = -3
y = -2<br>

-2 = -3/7(-3) -23/7
-2 = 9/7 - 23/7
-2 = -14/7
-2 = -2 <br>

this point checks out now lets check the next one<br>

x = 4
y = -5<br>

-5 = -3/7(4) -23/7
-5 = -12/7 - 23/7
-5 = -35/7
-5 = -5<br>

this point checks out also so you get your final answer of y = -3/7x - 23/7