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scZoUnD [109]
3 years ago
6

What is the image of (1, -6) for a 90° counterclockwise rotation about the origin?

Mathematics
1 answer:
maksim [4K]3 years ago
5 0

Answer:

D

Step-by-step explanation:

As the counter clockwise rule is A(x,y) becomes A'(-y,x).

So (1, -6) becomes (6, 1)

Hope it helps you

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<h2>Answer</h2>

The slope of the line is -8

<h2>Explanation </h2>

To find the slope of our line we are going to use the slope formula:

m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}

where

m is the slope of the line

(x_{1},y_{1}) are coordinates of the first point

(x_{2},y_{2}) are the coordinates of the second point

We know that the first point on our graph is (0, 6), so x_{1}=0 and y_{1}=6. We also know that the second point is (1, -2), so x_{2}=1 and y_{2}=-2. Let's replace those values in our formula:

m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}

m=\frac{-2-6}{1-0}

m=\frac{-8}{1}

m=-8

We can conclude that the slope of the line passing through the points (0, 6) and (1, -2) is -8.



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