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The line given by -7x+8y = -16 is dilated by a scale factor of k = 3, centered at the origin. What is an equation of the image of the line after dilation?

Sagot :

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We conclude that the image after the dilation is:

y =  -6 + (21/8)*x

How to write the dilation?

For a function y = f(x), a dilation of scale factor k is written as:

g(x) = k*f(x)

In this case, our function is given by:

-7x + 8y = -16

Solving for y we get:

y = (-16/8) + (7/8)*x

y = -2 + (7/8)*x

Now we apply a scale factor k = 3, so we get the dilated line:

y = 3*( -2 + (7/8)*x) = -6 + (21/8)*x

So we conclude that the image after the dilation is:

y =  -6 + (21/8)*x

If you want to learn more about dilations:

https://brainly.com/question/3457976

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