Help please and thanks! I'll give brainliest as well, but show your work please! (Or step by step :)

Step-by-step explanation:

<QPR = <RST(given)

<PRQ = <TRS(vertically opposite angles)

<PQR = < STR (remaining angles)

triangles PQR~TRS (by A.A.A. axiom)

now

PR/RS = PQ/ST=QR/RT (corresponding sides of similar triangles are proportional)

or, 15/6=PQ/(2x-4)=x/RT

or, 15/6 = = PQ.RT=x.(2x-4)

or,, 15/6 = 2x²-4x

or, 15= 12x²-24x

or, 12x²-24x-15 = 0

or, 12x²-(30-6)x-15=0

or, 12x²-30x+6x-15=0

or, 2x(6x-15)+1(6x-15)=0

or, (6x-15)(2x+1)=0

Either,

6x-15 = 0

or, 6x = 15

so, x = 15/6

so, x = 2.5

or,

2x+1=0

2x=-1

or, x = -1/2

Value of x is either 2.5 or -1/2

y -5 = (-1/4)(x + 8)

step-by-step explanation: