Step-by-step explanation:
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1 answer:
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Given:
The point is (-5,7).
To find:
The image of the given point after 90 degrees counter clockwise rotation.
Solution:
If a point rotated 90 degrees counter clockwise, then
Let the given point is P(-5,7). Using the above rule, we get
Therefore, the image of the given point after 90 degrees counter clockwise rotation is (-7,-5).
Point slope form is:
y -
= m(x - 
)
With and being the coordinate points, and m being the slope.
So the coordinate points are (4, -5), and the slope is -6 in this case.
So just substitute everything in, to get:
y - ( -5) = -6(x - 4)
Or
y + 5 = -6 (x - 4)
y -
With
So the coordinate points are (4, -5), and the slope is -6 in this case.
So just substitute everything in, to get:
y - ( -5) = -6(x - 4)
Or
y + 5 = -6 (x - 4)
<h3>Answer: Choice B 
</h3>
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Work Shown:
Angle theta is between 0 and pi/2, so this angle is in quadrant Q1.
Square both sides of the given equation
Then use the pythagorean trig identity to get