PLS HELP IM CONFUSED

I believe D

Step-by-step explanation:

Here is your formula for slope. y2-y1/x2-x1.

-5-2=-7

-9-(-2)=-7

-7/-7=1 so slope is 1.

Now for the y-int you get 4 because you have (-2,2) and your slope is 1 so you add 2 to each side and get (0,4) making your equation y=x+4

we have three similar triangles, because each has a right angle and shares an angle.   let's write the angles in order: opposite to short leg, long leg, hypotenuse.

cab similar to bad similar to cbd

or as ratios,

ca: ab: cb = ba: ad: bd = cb: bd: cd

we also know

ac = ad + cd

(ad+cd): ab: cb = ba: ad: bd = cb: bd: cd

(ad+cd)/cb=cb/cd

we have cb=6, ad=5 and seek x=cd.

we reject the negative root and conclude x=4

answer: 4