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Answer:
see attached
Step-by-step explanation:
y-2=-2(x+4)
y -2 = x(-2) + 4(-2)
y -2 = -2x - 8
y = -2x - 8 + 2
y = -2x - 6
When x = 0, y = -6. Hence (0,-6) is a point on the line
when y = 0, x = -3. Hence (-3,0) is a point on the line.
Plot these 2 points and connect with a line (see attached)
Notice that the reflection is over a line of the form x=constant; in this case, the y-coordinate of the reflected point stays the same while the x-coordinate changes as expressed by the transformation below
Hence, in our case
Transform points N, M, and O accordingly,