Question

Which point is the reflection of the point (-7,5) over the line y=-x?

Answer 1

the line will be diagonal so the reflection will be non linear..






hence the answer is (-5,7)

Answer 2

Answer:

(-12, -6)

Step-by-step explanation:

Given,

Point (-7, 5)

Line: y + x = 0

To Find,

The point of reflection.

Let the reflection of (-7, 5) be (h, k).

Then (h – x1)/a = (k – y1)/b = -2(ax1 + by1 + c)/(a2 + b2)

Here x1 = -7 and y1 = 5

a = 5, b = 1, c = 6

=> (h + 7)/5 = (k + 5)/1 = -2(20 – 13 + 6)/(52 + 12)

=> (h + 7)/5 = (k + 5) = -1

=> h + 7 = -5 and k + 5 = -1

=> h = -12 and k = -6

So the point is (-12, -6).

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