From the information given, it is correct to state that M = - 3; while c = 26. This problem relates to a Rhombus. See the definition of a Rhombus below.
What is a Rhombus?
A Rhombus is a 2-dimensional quadrilateral whose sides have equal length.
What are the steps for finding M and C?
It is given that ABCD is a Rhombus. This means that
- AC ⊥ BD; and
- Line DB is y = (1/3)x + 5
Hence, the slope of AC = -3.
This is arrived at as follows:
Given that the diagonals of Rhombus' are perpendicular, hence
I/3 x m = -1 ⇒ -3
⇒ Line y-11 = -3 (x-5)
⇒ Line AC thus ⇒ y = -3x + 26
How do we solve for c?
Recall that the coordinates are (5, 11). Thus let y = -3x + b
Hence, -3 x 5 + b = 11
b = 11 + 15
b = 26.
Therefore the equation is given as:
y = -3X + 26 were:
m = -3; and
c = 26
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