A line passes through the points (-10,-4) and (-1,2) what is the y-intercept of the line?

The first thing that we can do is to find the slope....this is given by the change in y divided by the change is x.

y changes from -4 to 2   =  6       And x changes from -10 to -1  = 9

So the slope is 6/9   = 2/3    So, every time y changes by 2,  x changes by 3.  Put another way, everytime x changes by 1, y changes by 2/3.

And the y intercept is where x = 0.  So from -1 to 0, x changes by 1 and y changes by 2/3. So 2 + 2/3 = 8/3.

So the y intercept  is   (0, 8/3)