Answer:
a.[tex]y=2x[/tex]
b.[tex]y=2x+3[/tex]
Step-by-step explanation:
We are given that a line
[tex]y=x[/tex]
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
[tex]y=ax[/tex]
We have a=2
Then, equation of line after dilation
[tex]y=2x[/tex]
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
[tex](x,y)\righarrow (x,y+3)[/tex]
When the line [tex]y=2x[/tex] is translated 3 units up then the equation of line is given by
[tex]y=2x+3[/tex]
