Question

A line segment whose endpoints are (4,2) and (3,7) is translated to the right 5 units and up one unit. Which of the following matrix sums represents this translation?

Answer 1

5 units right: x + 5

1 unit up: y + 1

(x, y) → (x + 5, y + 1)

(4, 2) → (4 + 5, 2 + 1) = (9, 3)

(3, 7) → (3 + 5, 7 + 1) = (8, 8)

`\begin{array}{ccc}\ \ x&y\end{array}\ \ \ \ \begin{array}{ccc}\ \ x&y\end{array}\\\left[\begin{array}{ccc}4&2\\3&7\end{array}\right]+\left[\begin{array}{ccc}5&1\\5&1\end{array}\right]=\left[\begin{array}{ccc}9&3\\8&8\end{array}\right]`

Answer:

`\left[\begin{array}{ccc}4&2\\3&7\end{array}\right]+\left[\begin{array}{ccc}5&1\\5&1\end{array}\right]`