Point E is drawn on the graph so that line EF is parallel to line CD. If the coordinates of point E are (–4, y), what is the value of y?
amitnrw:
Graph please
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Answered by
13
Answer:
y = -8
Step-by-step explanation:
Point E is drawn on the graph so that line EF is parallel to line CD. If the coordinates of point E are (–4, y), what is the value of y?
Point C (-10 , -2) & D = (10 , 6)
Slope of line CD = ( 6 - (-2))/( 10 - (-10)) = 8/20 = 2/5
EF is parallel to line CD
Slope of EF = 2/5
Equation y = (2/5)x + c
=> 5y = 2x + 5c
it passes through F ( 6 , -4)
=> 5(-4) = 2*6 + 5c
=> -20 = 12 + 5c
=> 5c = -32
=> 5y = 2x - 32
Point E ( - 4 , y)
=> 5y = 2(-4) - 32
=> 5y = -8 - 32
=> 5y = -40
=> y = -8
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Answered by
1
Answer: a. -8 / y = -8 / (-4, -8)
just to keep it simple!
Step-by-step explanation:
took the test on edge!
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