Question

question\
the image of the point $(-3, -5)$ under a translation is $(-8, -9)$. find the coordinates of the image of the point $(-8, 0)$ under the same translation.\
answer attempt 1 out of 2\
( )\
submit answer

Explanation:

Step1: Find the translation vector

Let the translation vector be \((h, k)\). For the point \((-3, -5)\) translating to \((-8, -9)\), we use the formula:
New \(x\)-coordinate = Old \(x\)-coordinate + \(h\)
New \(y\)-coordinate = Old \(y\)-coordinate + \(k\)

For \(x\)-coordinate: \(-8 = -3 + h\), so \(h = -8 - (-3) = -5\)
For \(y\)-coordinate: \(-9 = -5 + k\), so \(k = -9 - (-5) = -4\)

Step2: Apply translation to \((-8, 0)\)

Now, apply the translation vector \((h, k)=(-5, -4)\) to the point \((-8, 0)\):
New \(x\)-coordinate: \(-8 + (-5) = -13\)
New \(y\)-coordinate: \(0 + (-4) = -4\)

Answer:

\((-13, -4)\)