Answer:
y = 3x -1
Step-by-step explanation:
When the given points are dilated by a factor of 1/5 about the origin, each of the coordinate values is multiplied by 1/5. The points after dilation are ...
... (2/5, 1/5), (-1/5, -8/5)
The line through these points can be found starting with a 2-point form of the equation for the line.
... y -y1 = (y2 -y1)/(x2 -x1)·(x -x1)
Filling in the point values gives ...
... y -1/5 = (-8/5 -1/5)/(-1/5 -2/5)(x -2/5)
... y = (-9/5)/(-3/5)(x -2/5) +1/5 . . . . simplify parentheses, add 1/5
... y = 3x -1 . . . . . simplify
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The graph shows the original points and the line through them in red, and the dilated points and line in green.
V = (edge)^3
If you know the volume, take the CUBE ROOT on both sides to find the edge.
Draw out a number line with the values 0, 5, 10, 15, 20, 25, 30, etc (basically multiples of 5)
Then plot a point at 25
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Or you can draw out a number line with the multiples of 10, so with the values 0, 10, 20, 30, ...
Then plot a point at the exact midway point between 20 and 30 to represent the value 25