Triangle ABC is shown below with vertices at A(3,-2), B(3.-6), and C(9,-2). (a) Draw A'B'C'. the image of MBC, after a 90
counterclockwise rotation about the origin. Give the
coordinates of the vertices of AA'B'C' below.
A А
(b) If A'B'C' is mapped to AB'C' using a
translation such that its vertices are at A"(-3,-4).
B"(1.-4) and C"(-3,2). give a rule for this
translation
B​

b

step-by-step explanation:

the equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (0, 4) and (x₂, y₂ ) = (3, - 5) ← 2 points on the line

m = = = - 3

with m = - 3 and (a, b) = (3, - 5), then

y - (- 5) = - 3(x - 3), that is

y + 5 = - 3(x - 3) → b