What is the slope of the line?
3(y - 1) = 2x + 2

2/3

Step-by-step explanation:

This is written in point slope form

y - y1 = m(x-x1)

3(y - 1) = 2x + 2

Divide each side by 3

(y - 1) = 1/3(2x + 2)

Factor out a 2

(y - 1) = 2/3(x -  -1)

The slope is 2/3

given that triangle abc is transformed two times to get triangle

a"b"c"

first abc is transformed in to a'b'c' as follows:

the coordinates of a are (1,-1) and transformed into a'(-1,1)

similarly b (4,-2) became b'(-4,2) and

c(7,-2) became c'(-7,2)

i.e. (x,y) becomes (-x,-y)

this is nothing but reflection about a point here origin.

thus first transformation is reflection on the origin.

next is exactly shifting 3 units down

source:

180 square centimeters

step-by-step explanation: