What are the new coordinates of the point (1, 6) after translating by the vector (4, -2)?

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Sharpen your skills for the Praxis Middle School Mathematics Test. Prepare with a variety of questions, hints, and explanations. Get ready to ace your exam!

Multiple Choice

What are the new coordinates of the point (1, 6) after translating by the vector (4, -2)?

Explanation:
Moving a point by a vector means add the vector’s horizontal component to the x-coordinate and its vertical component to the y-coordinate. Here, the vector is (4, -2), so you go 4 units to the right and 2 units down. From (1, 6), that gives x = 1 + 4 = 5 and y = 6 + (-2) = 4. So the new position is (5, 4). The other options would come from using the wrong sign or adjusting only one coordinate.

Moving a point by a vector means add the vector’s horizontal component to the x-coordinate and its vertical component to the y-coordinate. Here, the vector is (4, -2), so you go 4 units to the right and 2 units down. From (1, 6), that gives x = 1 + 4 = 5 and y = 6 + (-2) = 4. So the new position is (5, 4). The other options would come from using the wrong sign or adjusting only one coordinate.

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