What will be the new position of the given point (–6, 8) after rotating 90 degrees clockwise about the origin? *

If  point (–6, 8) is rotated 90 degrees clockwise about the origin, the new point is at (8, 6).

Transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, reflection, translation and dilation.

If a point A(x, y) is rotated 90 degrees clockwise about the origin, the new point is at A'(y, -x).

Hence if point (–6, 8) is rotated 90 degrees clockwise about the origin, the new point is at (8, 6).

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The new position after 90 degrees clockwise rotation will be (8,6)

Step-by-step explanation:

Here, we are interested in knowing what the new position of a point will be when it is rotated 90 degrees clockwise about the origin.

Let’s say we have a point; n (x,y) as in the case above and we want to rotate clockwise 90 degrees about the origin.

Mathematically, this point will become n’ (y , -x)

Wondering what n and n’ is?

n represents the resultant of the coordinates while n’ represents the new image of the resultant after rotation.

Thus, by the expressions given above, after rotating (-6,8) , the new image taken after rotation will be (8, 6)

y = 3x+4

step-by-step explanation:

to find the slope

slope = (y2-y1)/ (x2-x1)

    = (-8-4)/ (-4-0)

    = -12/-4

  = 3

using the slope intercept form of a line

y= mx+b

we know the slope is 3

we know the y intercept is 4 ( the point where it crosses the y axis or x=0)

y = 3x+4

the answer to your question is c.)   volcanoes built the mountains and earthquakes tore them down.

step-by-step explanation: