Polygon abcd is translated to create polygon a'b'cd'. point a is located at(1,
5), and point a'is located at (-2, 3). which expression defines the
transformation of any point (x, y) to (x, y) on the polygons?
x'= x-3
y'= y - 2
x'=x-2
y'=y-3
ox'= x-1
y'=y-8
x = x + 3
y = y'+2

the answer is

x′ = x − 3

y′ = y − 2

Step-by-step explanation:

system of linear equation

step-by-step explanation:

as given in the data

a= 20 , b= -12

let us suppose that it is a straight line equation

now we know the formula for the system of linear equation

b= ma + c )

here m is slope of a straight line which is equal to formula

m=   (ii)

and here c is a constant

now putting the value of a and b in equation (ii)

m=

m=

putting the value of a,b and m in equation (i) gives us

-12 = + c

-12=-12 + c

adding 12 to both sides

-12 +12 = -12 +12 +c

0 =c

or c=0

as the value of the constant is zero which gives us that it is a linear equation and this order pair satisfies the system of linear equations.