HOME is a rhombus. The equation of the line that contains diagonal HM is y = 2/3 x + 7. What is the slope of the line that contains diagonal OM?
Answers
Given : HOME is a rhombus
equation of the line that contains diagonal HM is y = 2/3 x + 7.
To Find : slope of the line that contains diagonal OE
Solution:
Diagonals of a rhombus are perpendicular to each other .
Multiplication of slope of perpendicular lines = - 1
The equation of the line that contains diagonal HM is y = 2/3 x + 7.
Comparing with y = mx + c
m = 2/3
Slope of line = 2/3
Assume that Slope of the line that contains diagonal OE = m
m x (2/3) = - 1
=> m = - 3/2
slope of the line that contains diagonal OE = - 3/2
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