Math, asked by wecwc5879, 10 months ago

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

Answers

Answered by amitnrw
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

Attachments:
Answered by heckinlaura
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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