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If the coordinate (-6,3) was translated 3 units down and 4 units to the right, what would be the coordinate of the image?

A.(-9,7)
B.(-10,0)
C.(-2,0)
D.(-3,7)

User StockBreak
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Answer:

C. (-2,0) **See diagram**

Explanation:

For a coordinate system, the origin is the point located at (0,0).

Any coordinate ordered pair (x,y) is given with the x-coordinate (the "left-right" distance from the origin) first, and the y-coordinate (the "up-down" distance from the origin) second.

With the given starting point (-6,3), the original point is to the left (in the negative "x" direction) 6 units, and up (in the positive "y" direction) 3 units.

the y-coordinate

To translate (slide or move) the point down 3 units would affect the y-value by subtracting 3. The original y-value is 3, so subtracting 3 will give a new y-value result of 0.

the x-coordinate

To translate the point right 4 units would affect the x-value by adding 4. The original x-value is -6, and we need to add 4.

Adding positive and negative numbers

When adding two numbers where one is positive and one is negative, we'll want to look at the magnitude ("size," or distance from zero) of the two numbers. Negative six is 6 units from zero, and positive four is 4 units from zero.

When adding one positive and one negative number, the result has a sign matching the number with the larger magnitude, and a value that is the difference of their two magnitudes.

The negative six is the larger number, so the result will be negative.

The difference between 4 and 6 is 2 (counting from 4 up to 6 takes two steps... or differently, six minus four is two).

So adding 4 to -6 will give a new x-value result of -2.

Hence, the final point (as illustrated in the diagram), is (-2,0), which is answer choice C.

If the coordinate (-6,3) was translated 3 units down and 4 units to the right, what-example-1
User Dythim
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