Question

perpendicular to y= -2x passing through -2,5 fine slope intercept

Answer 1

If a line is perpendicular to -2x, the slope has the opposite reciprocal. In this case, the opposite reciprocal of -2x is 1/2x. Then you plug in the coordinates in the y = mx + b format:
5 = 1/2 (-2) + b
Then you solve for b and you should get b = 6