Lines f and g are perpendicular. the equation of line f is y=1/4x+2. what is the equation of line g?

Perpedicular lines will always have an opposite slope (m).

Therefore the solution should be y= -4x+2

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:

your answer would be 10x - 1