m=slope, so let's find that first: m= change in y/change in x So between the points (-1,-2) and (3,4), The y values, -2 and 4, have a difference of 6. The x values, -1 and 3, have a difference of 4. This makes our slope 6/4 (or 3/2 simplified)
Now our equation is Y=3/2x + b
We still need to find b To find b, we can substitute a point given to us. Let's use (3,4) just to avoid negatives.
4=3/2(3) + b Multiply 4=9/2 + b Subtract 9/2 from both sides -1/2=b