Point point form for the line through (a,b) and (c,d) is
(c-a)(y-b) = (d-b)(x-a)
We don't care about the constant part, this is
(b-d)x + (c-a)y = some constant
(a,b)=(5,-1) and (c,d)=(2,-5)
(-1 - -5) x + (2 - 5)y = some constant
4x - 3y = some constant
We didn't bother to calculate to constant because the parallel through (-1,8) means we get a different constant, obviously
4x - 3y = 4(-1) - 3(8)
4x - 3y = -28
There is only 1 number equal to 3 and that is 3.
(0,7) would be located on the y axis
Answer:
h = 16 feet
Step-by-step explanation:
Pythagoras´ theorem establishes, that in a right triangle square of the hypothenuse (c²) is the sum of leg ( b²) plus leg (a²)
Then
c² = a² + b²
where according to the problem statement
(20)² = h² + (12)² ( h is the height of the flagpole )
h² = 400 - 144
h² = 256
h = √ 256
h = 16 feet