Write an equation that passes through the points (4, 3) and (2, -2)

I have -2 -3 is -5 and 2-4 is -2 so y equals -5/2x plus b. I put in 2,-2 into the equation to get the y intercept, so 2 equals -5/2 times 2 plus b

-5/2(2) is -10/-4 reduce to -5/-2

Now add 5/2 to -2

Please help, I'm stuck!!!

I think I've got it, is it

-5/-2 (2) is -10/2 so 5
-2-5 is -7 so y equals 5x -7