Question

Consider the line y=x

Answer 1

Answer:

a.$y=2x$

b.$y=2x+3$

Step-by-step explanation:

We are given that a  line

$y=x$

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

$y=ax$

We have a=2

Then, equation of line after dilation

$y=2x$

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

$(x,y)\righarrow (x,y+3)$

When the line $y=2x$ is translated 3 units up then the equation of line is given by

$y=2x+3$