The vertices of
Upper Delta
ΔABC are
Upper A left parenthesis negative 2 comma 4 right parenthesis
A(−2,4),
Upper B left parenthesis negative 2 comma 3 right parenthesis
B(−2,3), and
Upper C left parenthesis negative 5 comma 2 right parenthesis
C(−5,2). If
Upper Delta
ΔABC is reflected across the line y
equals
=
negative 2
−2 to produce the image
Upper Delta
ΔA'B'C', find the coordinates of the vertex
Upper B
B'.

x is variable or an unknown value to find

example:

2x = 5 which means x = 3

yes

step-by-step explanation:

yes

x coordinate can be written by using the formula, x= x1 + 2/5(x2 - x1)

step-by-step explanation:

formula

x = x1 + p/w(x2 - x1)

let the line segment ab with a(x1,y1) and b(x2,y2)

a point(x,y) divide ab in the ratio, 2: 3 the x coordinate can be written as

x = x1 + p/w(x2 - x1)

here p=2 and w = 2+3

therefore,

x coordinate can be written by using the formula, x= x1 + 2/5(x2 - x1)

similarly y coordinate y = y1 + 2/5(y2 - y1)