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rjkz [21]
2 years ago
9

The point (-4,1) is rotated 180 degrees counterclockwise using center (-3,0). What are the coordinates of the image?

Mathematics
2 answers:
IrinaVladis [17]2 years ago
4 0
I believe the answer is C also trying using the website desmos it helps a lot with graphing
Nadya [2.5K]2 years ago
3 0

Answer:

  C.  (-2, -1)

Step-by-step explanation:

It can help to plot the points.

For rotation 180 degrees, the center of rotation is the midpoint of the segment joining the given point and its image. That means you want to find the other end of a segment with one end (-4, 1) and midpoint (-3, 0).

For center of rotation O, this means ...

  O = (A +A')/2

  2O -A = A'

  A' = 2(-3, 0) -(-4, 1) = (-6+4, 0 -1) = (-2, -1)

The coordinates of the image are (-2, -1).

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Y=-4x-41 that passes through (-2,7)
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Answer:

Parallel: y=-4x-1

Perpendicular: y=-4x+13/2

Step-by-step explanation:

For the equation y=-4x-41, the slope is -4. Writing a line related to this equation has two options:

  • If the line will be parallel to it then this is the slope of the new line as well. Use the point-slope form to write the equation, then simplify and convert into the slope intercept form.

(y-7)=-4(x--2)


y-7=-4x-8


y=-4x-1

  • If the line will be perpendicular to it then the slope is the negative reciprocal of the previous slope. It is 1/4.

(y-7)=1/4(x--2)


y-7=1/4x-1/2


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Step-by-step explanation:

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Step-by-step explanation:

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