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 equati…

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asked Feb 7, 2020 171k views

1 Answer

ScottG · Answer 1 · 2020-02-11T20:08:15+0000

Answer:

a.

b.

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

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