a.

y=-1.25x+1.5

b.

y=-1.25x-1.5 << ======================= (b)

c.

y=1.25x-1.5

d.

y=1.25x+1.5

m=pendiente debe ser igual < -------------

m=(-3-7)/(5+3)

m=-10/8

m=-1.25 << ========================= (b)

Hola

m = (-3-7)/(5 - (-3)) = -10/8 = -5/4

y + 4 = (-5/4) (x - 2)

4 y + 16 = -5 x + 10

4 y + 5 x + 6 = 0

...

P (x1, y1)=( - 3, 7) ; Q (x2, y2) = (5, - 3)

Recta por dos puntos

y - y1 .. x - x1

------- = --------

y2-y1 .. x2-x1

y = -5/4 x + 13/4

paralelismo m1 = m2 ; m1 = - 5/4

Buscando la recta m = - 5/4 y punto (2, 4)

y = mx + b

4 = -5/4(2) + b

4 = -10/4 + b

4 + 5/2 = b

b = 8/2 + 5/2 = 13/2

Recta buscada

===============

y = - 5/4 x + 13/2 <==========

===============

corresponde a la opción B) 4y + 5x + 6 = 0

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