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mr Goodwill [35]
3 years ago
7

Write an Equation given the point (4, 10) and a rate of -4.

Mathematics
1 answer:
navik [9.2K]3 years ago
3 0

Answer:

y=-4x+36

Step-by-step explanation:

y=mx+b

m is slope or rate; so m = -4

y=-4x + b

10=(-4×4) + b

36 = b

y=-4x+36

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A line segment has an end point of ( -4,-6) which reflection will produce an image with endpoints (-4, 6) and (-6,-4)
HACTEHA [7]
The given point is (-4, -6)

First reflected point is (-4, 6).
Note that the x coordinate is same and y coordinate has opposite sign. Above x-axis, y is positive and below x-axis y is negative. This shows that the reflection was across x-axis which resulted in the change of sign of y coordinate.

Second reflected point is (-6, -4)
Notice that in comparison to the original point, the location of x and y coordinate has been interchanged. This can only happen when the reflection is across the line y = x. The reflection of a graph across y = x also results in the inverse of that graph, with x values and y values interchanging their positions.

So,
1st Answer: Reflection across x-axis
2nd Answer: Reflection across the line y = x
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