Find the coordinates of S' after a rotation of the triangle 180° about the origin

b) (4, -4)

Step-by-step explanation:

Rotation of 180°: (x, y) → (y, x)

S = (-4, 4) → S' = (4, -4)

Note: If you graph the point and then turn the graphing board 2 turns to the left, it will visually show you where the point lands after a 180° rotation.

answer: there are 453.592 grams in a pound.

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