Write an equation for line that passes through the Point (2,5) and has slope of 4.
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Answer:
It's so messy but here it is
Step-by-step explanation:
First calculate the Area of MOP by using congruent altitudes.
(Area MOP)/(Area AOM) = PO/OA = (Area BOP)/(Area AOB)
Area MOP = (Area AOM)*(Area BOP)/(Area AOB) = (45)*(15/75) = 9.
Now, let Area CMP = x. And use two sets of triangles with congruent altitudes.
(Area CMP)/(Area BMP) = x/(9+15) = x/24 = (CP)/(BP).
(Area CAP)/(Area BAP) = (x+54)/90 = (CP)/(BP)
So,
(Area CMP)/(Area BMP) = (Area CAP)/(Area BAP)
or
x/24 = (x+54)/90
90x = 24 (x+54) = 24x + 1296
66x = 1296
x = 19
