What inequality represents the graph

I’ve been trying all day to figure this puzzle out. i need the work for it aswell. it is a factoring polynomials tarsia. the image is below.

If the equation of a line containing the midsegment of a triangle is y = -1/4x -11, what is the slope of the triangle side that is opposite the midsegment (the one not touching it). explain how you know.

Afootball is passed through the air and caught at ground level for a touchdown. the height of the ball (h) is given by h= -d² + 12d + 6, where d is the distance in feet the ball travels horizontally. how far from the player passing the ball will the ball be caught? 40 points! will mark brainliest!