Answer:
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Step-by-step explanation:
Answer:
C) 7
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Work Shown:
Use the slope formula
m = (y2-y1)/(x2-x1)
Plug in the given slope we want m = -5/3 and also the coordinates of the points. Then isolate r
m = (y2-y1)/(x2-x1)
-5/3 = (2-r)/(r-4)
-5(r-4) = 3(2-r) .... cross multiplying
-5r+20 = 6-3r
-5r+20+5r = 6-3r+5r .... adding 5 to both sides
20 = 6+2r
20-6 = 6+2r-6 ....subtracting 6 from both sides
14 = 2r
2r = 14
2r/2 = 14/2 .... dividing both sides by 2
r = 7
The slope of the line through (4,7) and (7,2) should be -5/3, let's check that
m = (y2-y1)/(x2-x1)
m = (2-7)/(7-4)
m = -5/3
The answer is confirmed
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Transformation involves changing the position of a shape.
The transformation from
to
is 90 degrees clockwise rotation
Using the coordinates of A and A', we have:


Notice that the x-coordinate is <em>negated </em>and then <em>swapped </em>with the y-coordinate.
i.e.

The transformation of a point from <em>(x,y) to (y,-x)</em> is a 90 degrees clockwise rotation.
Hence, the transformation from
to
is 90 degrees clockwise rotation
Read more about transformations at:
brainly.com/question/13801312