A line is represented by 7y = 56 − 8x. If mirror image is taken with respect to the
Y − axis, a new line is formed. What will be the equation of the new line?
Answers
Answer:
y = x(8/7) + 8
Step-by-step explanation:
By taking mirror image in Y axis, The value of X changes from negative to positive;
step 1 : 7y = 56 -8(-x) = 56 +8(x)
step 2 : dividing whole equation by 7 gives : y = x(8/7) + 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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