Question

which of the following is the equation of a line parallel to the line y = -x + 1, passing through the point (4,1)?

Answer 1

○ A. x + y = 5

Explanation:

Parallel lines have SIMILAR RATE OF CHANGES [SLOPES], so -1 remains the same:

1 = -[4] + b

↑

-4

5 = b

You have the equation, but all answer choices are in Standard Form, so we need to convert from Slope-Intercept to Standard:

y = -x + 5 >> Parallel Equation

+x + x

_________

x + y = 5 >> Standard Equation

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