A line is represented by 7 y = 56 − 8 x . If mirror image is taken with respect to the Y − a x i s , a new line is formed. What will be the equation of the new line?
Answers
Answer:
y = x + 8
Step-by-step explanation:
7y = 56 - 8x
y = - x + 8
Given : A line is represented by 7 y = 56 − 8 x
mirror image is taken with respect to the Y − a x i s
To Find : What will be the equation of the new line
Solution:
A line is represented by 7 y = 56 − 8 x
mirror image is taken with respect to the Y − a x i s
in image through y axis
y coordinate remains same and sign of x coordinate chnge
7 y = 56 − 8 x
Mirror image taken with respect to the Y axis
=> 7y = 56 - 8(-x)
=> 7y = 56 + 8x
=> y = 8 + 8x/7
=> y = (8/7)x + 8
equation of the new line 7y = 56 + 8x
y = (8/7)x + 8
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