Answered

Discover answers to your most pressing questions at Westonci.ca, the ultimate Q&A platform that connects you with expert solutions. Experience the convenience of finding accurate answers to your questions from knowledgeable experts on our platform. Experience the ease of finding precise answers to your questions from a knowledgeable community of experts.

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 :

facundo3141592

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

#SPJ1

Thank you for choosing our platform. We're dedicated to providing the best answers for all your questions. Visit us again. Thank you for your visit. We're dedicated to helping you find the information you need, whenever you need it. Thank you for visiting Westonci.ca, your go-to source for reliable answers. Come back soon for more expert insights.