Write an equation of the line that passes through (-3,4) and (0,0).

y = (-4/3)x

Step-by-step explanation:

Δy/Δx

(0-4) / (0-(-3)) = -4/3 = slope = m

mx + b = y    ⇒ standard form

(-4/3)x + b = y

find b using (0,0)

(-4/3)(0) + b = 0

b = 0

therefore

y = (-4/3)x

step-by-step explanation: h: (- 3, 6)

m: (1, - 2)

o: (7, 6)

r: (- 9, - 2)

midpoint of hm: (- 1, 2)

midpoint of or: (- 1, 2)

therefore, b is the midpoint of both diagonals bisect each other !

to prove the diagonals are perpendicular, show that the product of the slopes = - 1

answer: the two figures are congruent.

step-by-step explanation: they're congruent because figure efgh is reflected across the x and y axis but it was also rotated.

hope it !