Y ^(-2/3)^-6 = y^12/3 = y^4
x^(1/2)^ -6 = x^-3 = 1 x^3
so the answer is y^4 * 1 /x^3 = y^4 / x^3
A
Answer:
Y=500x+75
Step-by-step explanation:
The graph which best represents the new function is a linear function on a coordinate plane as shown in the image below.
<h3>How to determine the graph of the new function?</h3>
First of all, we would determine the slope of the linear function as follows:
![Slope, m = \frac{Change\;in\;y\;axis}{Change\;in\;x\;axis}\\\\Slope, m = \frac{y_2\;-\;y_1}{x_2\;-\;x_1}\\\\Slope, m = \frac{-2\;-\;0}{0\;-\;3}](https://tex.z-dn.net/?f=Slope%2C%20m%20%3D%20%5Cfrac%7BChange%5C%3Bin%5C%3By%5C%3Baxis%7D%7BChange%5C%3Bin%5C%3Bx%5C%3Baxis%7D%5C%5C%5C%5CSlope%2C%20m%20%3D%20%5Cfrac%7By_2%5C%3B-%5C%3By_1%7D%7Bx_2%5C%3B-%5C%3Bx_1%7D%5C%5C%5C%5CSlope%2C%20m%20%3D%20%5Cfrac%7B-2%5C%3B-%5C%3B0%7D%7B0%5C%3B-%5C%3B3%7D)
Slope, m = ⅔.
Multiplying by -4, the new slope is:
Slope = ⅔ × -4
Slope = -8/3 or 2.7.
For the equation of this line, we have:
y - y₁ = m(x - x₁)
y - 0 = -8/3(x - 3)
y - 0 = -8/3x + 8
y = -8/3x + 8
Decreasing the y-value by 1, we have:
y = -8/3x + 8
y = -8/3x + 8 - 1
y = -8/3x + 7
Therefore, we would have a linear function on a coordinate plane as shown in the image attached below.
Read more on slope here: brainly.com/question/17601248
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Answer:
Ok how can I help
Step-by-step explanation: