Answer:
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First calculate the change in y over the change in x:
by - ay -1 - 1 -2
———— = ——— = —— = 1
bx - ax -2 - 0 -2
The slope is 1:
Second set up the equation in y = mx + b form (m is your slope!) ...
y = (1)x + b
... and plug in either point you have used (A or B)
A(0,1)
1 = (1)(0) + b
1 = b
Now you have your equation: y = 1x + 1
Your final step is to plug in point C to solve for your missing variable:
y = (1)(5) + 1
y = 6
the value of H therefore is 6
True mechanical energy is the sum of potential and kinetic energies