Given a point (−7, 4) on a geometric figure, what is the new point after rotating the figure 90 degrees counterclockwise?(1 point) ( , )

Answer 1

To rotate a point $(x,y)$ 90 degrees counterclockwise around the origin, you use the transformation:

$$(x^{\prime },y^{\prime })=(-y,x)$$

For the point $(-7,4)$:

1. $x=-7$
2. $y=4$

Now applying the transformation:

$$x^{\prime }=-y=-4$$ $$y^{\prime }=x=-7$$

Therefore, the new point after rotating $(-7,4)$ 90 degrees counterclockwise is:

$$(-4,-7)$$

So the answer is $(-4,-7)$.