Consider the line y=x

a. if the line is dilated by a factor of 2 what is the equation of the resulting line?
b. if the resulting line is translated 3 units up what is the equation of the resulting line?

a.

b.

Step-by-step explanation:

We are given that a  line

a. We have to find the equation of resulting line when the given line is dilated by  a factor of 2.

We know that when a line is dilated by a then equation of line is given by

We have a=2

Then, equation of line after dilation

b.We have to find the equation of line when resulting line is translated 3 units up

Transformation rule when the y shift 3 units upward is given by

When the line is translated 3 units up then the equation of line is given by

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step-by-step explanation: