Given a point (−7, 4) on a geometric figure, what is the new point after rotating the figure 90 degrees counterclockwise?(1 point)
To rotate a point 90 degrees counterclockwise, we can use the rotation matrix:
\[
\begin{bmatrix}
0 & -1 \\
1 & 0 \\
\end{bmatrix}
\]
So, let's apply this matrix to the point (-7, 4):
\[
\begin{bmatrix}
0 & -1 \\
1 & 0 \\
\end{bmatrix}
\begin{bmatrix}
-7 \\
4 \\
\end{bmatrix}
=
\begin{bmatrix}
-4 \\
-7 \\
\end{bmatrix}
\]
Therefore, the new point after rotating the figure 90 degrees counterclockwise is (-4, -7).