Answer:
[tex]y=\frac{1}{3}x[/tex]
and
[tex]y=\frac{1}{3}x-1[/tex]
Step-by-step explanation:
When we dilate y = x by a factor of "a", we have the equation:
y = a*x
So, firstly, we need to dilate by a factor of 1/3, thus we would have:
[tex]y=\frac{1}{3}x[/tex]
Now, whenever we have a line y = x, per say, if we want to translate "b" units up, we would have:
y = x + b
if we want to translate "b" units down, we have"
y = x - b
Now, since we have [tex]y=\frac{1}{3}x[/tex] and we want to translate "1" unit down, we will thus have:
[tex]y=\frac{1}{3}x-1[/tex]
