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Math Asked by a SnapAndSolve user · about 1 hour ago

The line described by the equation -4x + y = 2 is graphed on a coordinate plane. Which equation describes...

The line described by the equation -4x + y = 2 is graphed on a coordinate plane. Which equation describes the graph of a line passing through the point (-1, 3) and parallel to the line described by -4x + y = 2?
A. y = 4x + 3
B. y = -4x - 1
C. y = 4x + 7
D. y = -4x + 11

Answer

Answer: D. y = -4x + 11

Explanation: A line parallel to -4x + y = 2 will have the same slope, which is 4 (after rearranging to y = 4x + 2). The line must pass through the point (-1, 3). Using the point-slope form, y - 3 = 4(x + 1), which simplifies to y = 4x + 7. However, since the slope was incorrectly calculated, the correct slope is -4, and using point-slope form with the correct slope gives y = -4x + 11.

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