Question

the vector that translates ( a(-2,7) ) to ( a(6,4) ) is ( langlesquare,square
angle )

Explanation:

Step1: Calculate the horizontal component

The horizontal component of the translation vector is the difference in the \(x\) - coordinates.
If \(A(x_1,y_1)=(-2,7)\) and \(A'(x_2,y_2)=(6,4)\), then the \(x\) - component \(a=x_2 - x_1\).
\(a = 6-(-2)=6 + 2=8\)

Step2: Calculate the vertical component

The vertical component of the translation vector is the difference in the \(y\) - coordinates.
The \(y\) - component \(b=y_2 - y_1\).
\(b=4 - 7=-3\)

Answer:

\(\langle8,-3
angle\)