Here is a math problem...I need help...(I tried it and I couldn't find out the answer

y - 6 = x/3 + 17/3 - 6

Step-by-step explanation:

   x₁,y₁

A(-5,4)

   x₂,y₂

B(1,6)

m = (y₂ - y₁) / (x₂ - x₁)

m = (6 - 4) / (1 - (-5))

m = 2 / (1 + 5)

m = 2/6

m = 1/3

y = mx + b              B(1,6)

6 = (1) * 1/3   + b

6 = 1/3  + b

b = 6 - 1/3

b = (18 - 1) / 3

b = 17 / 3

y = x/3 + 17/3

y - 6 = x/3 + 17/3 - 6

your answer would be 12

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