Answer:
The answer is: y = -x - 2
Explanation:
Given point: (4, -6)
Given line: x + y = 4
A parallel line will have the same slope as the given line. Put the equation in the form y = mx + b to find the slope, m:
y = -x + 4 or y = -1x + 4, so the slope is m = -1
Use the point slope form of the equation, and substitute the slope and the given point:
y - y1 = m(x - x1)
y - (-6) = -1(x - 4)
y + 6 = -x + 4
y = -x - 2
Proof:
f(4) = -4 - 2
= -6, Giving point (4, -6)
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