What is an equation of the line that passes through the point (4, -6) and is parallel to the line x + y = 4

The answer is: y = -x - 2

Step-by-step 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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step-by-step explanation:

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