Which of the following is the equation of the line A graphed in the xy-plane that passes through the point (-2,2) and is parallel to the line B whose equation is y-3=0 ? Choose 1 answer: (A) y+2=0 (B) x+2=0 (C) y-2=0 (D) x-2=0

Question

Which of the following is the equation of the line  A graphed in the  xy-plane that passes through the point  (-2,2) and is parallel to the line  B whose equation is  y-3=0 ? Choose 1 answer: (A)  y+2=0 (B)  x+2=0 (C)  y-2=0 (D)  x-2=0

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Line B equation: Line B has an equation of y - 3 = 0, which simplifies to y = 3. This is a horizontal line because the slope is 0 (it does not change in the y-direction regardless of the x-value). Parallel lines: Since line A is parallel to line B, it must also be a horizontal line, which means it will have the same slope of 0. Line A equation: Line A passes through the point (-2, 2). Since it is horizontal, its equation will have the form y = k, where k is the y-coordinate of the point it passes through.Substituting coordinates: Substituting the y-coordinate of the point (-2, 2) into the equation y = k gives us y = 2. This is the equation of line A.Matching with answer choice: Comparing the equation y = 2 with the answer choices, we find that it matches with choice (C) y - 2 = 0.

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