Which of the following are the correct coordinates when the point (-2,3) is translated 7 units down and 3 units right?
A
(-9,0)
B
(1,-4)
C
(-9,6)
D
(-5,-4)
down means - vertically
right means + horizontally
1, -4
Well, let's follow the steps of the translation. Firstly, we move 7 units down, which means the y-coordinate is decreased by 7. So, we have (-2, 3 - 7) which simplifies to (-2, -4).
Next, we move 3 units right, which means the x-coordinate is increased by 3. So, we have (-2 + 3, -4) which simplifies to (1, -4).
So, the correct answer is B: (1, -4).
To find the coordinates after translating the point (-2, 3) 7 units down and 3 units right, we need to subtract 7 from the y-coordinate and add 3 to the x-coordinate.
The original coordinates are (-2, 3).
Subtracting 7 from the y-coordinate:
3 - 7 = -4
Adding 3 to the x-coordinate:
-2 + 3 = 1
Therefore, the translated point is (1, -4).
The correct answer is option B:
(1, -4).