Answer:
slope = 
Step-by-step explanation:
Calculate the slope m using the slope formula
= (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (- 6, 3) and (x₂, y₂ ) = (1, 5)
m =
= 
(x+6)(x+6) is the equation to find the area of the second square
Let the length of unknown side be x
So, hypotenuse = 2x + 1
By pythagorean theorem ie , a² = b² + c²
(2x + 1)² = x² + 15²
4x² + 1 + 4x = x² + 225
3x² + 4x -224
(3x +28)(x-8)
x = -9.33 , 8
Since, length can't be negative
x = 8
∴Unknown side length = 8 m
Length of hypotenuse = 2 x 8 + 1 = 17 m
Hope it helps now.