Let y = the distance between the top left corner and the bottom right corner
y^2 = 24^2 + 15^2
y^2 = 801
y = 3 * sqrt(89)
Now we can find x.
12^2 + x^2 = (3 * sqrt(89))^2
x^2 = 657
x = 3 * sqrt(73) or 25.63
4x is the proportionality
It is prime because nothing equals it other than 5x1
Using the tangent rule:
Tangent(angle) = Opposite leg / Adjacent leg
We will use the 23 degree angle to solve for x.
Tangent(23) = X / 6
x = 6 * tangent(23)
x = 2.5
We know that the slope formula is m = (y1 - y2)/(x1 - x2)
Your points are: (3, 7) and (4, -8)
In this case,
x1 = 3
x2 = 4
y1 = 7
y2 = -8
Now, just plug in the numbers:
m = (7 - -8)/(3-4)
m = 15/-1
m = -15
Your slope is -15.
