The coordinates for the pre-image are P(1,3), Q(4,4), R(4,1), and S(1, -1).
The transformation is 4 units left, and 4 units down.
That means we must subtract 4 units to x-coordinates, and subtract 4 units from y-coordinates. So, the image has coordinates P'(-3,-1), Q'(0,0), R'(0, -3), and S'(-3, -5).
The image below shows the image and pre-image.
y=kx and y= are two equations of constant of proportionality
Step-by-step explanation:
There are two equations for the constant of proportionality. That is
(i) Direct proportion
(ii) Inverse proportion
In direct proportion y=kx, Now
if x increases, then y also increases and if x decreases, then y also decreases. So, k is a constant proportionality.
In Inverse proportion y=, Now
if x increases then y decreases and if x decreases, then y increases and k is a constant proportionality.
In direct proportion, we put y=1 and x=2, So k=.
So, the equations y=kx and y= are two equations of constant of proportionality.