Which point is located on the line represented by the equation y + 4 = -5(x - 3)
F. (-4, -5) G. (-5, -4) H. (3, -4) I. (-3, 4)

Solution:

Given equation: y + 4 = -5(x - 3)

Let us check which point lies on the line by substituting each point (x, y) in the given equation y + 4 = -5(x - 3).

Consider (-4, -5):

y + 4 = -5(x - 3)

⇒ -5 + 4 = -5(-4 - 3)

-1 = -5(-7)

-1 = 35 This is not true.

Consider (-5, -4):

y + 4 = -5(x - 3)

⇒-4 - 4 = -5(-5 - 3)

-8 = -5(-8)

-8 = 40 This is not true.

Consider (3, -4):

y + 4 = -5(x - 3)

⇒-4 + 4 = -5(3 - 3)

0 = 0 This is true.

Consider (-3, 4):

y + 4 = -5(x - 3)

⇒4 + 4 = -5(-3 - 3)

8 = -5(-6)

8 = 30 This is not true.

The point (3, -4) is identified as located on the line represented by the equation y + 4 = -5(x - 3)

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Which point is located on the line represented by the equation y + 4 = -5(x - 3)

Summary:

The point located on the line represented by the equation y + 4 = -5(x - 3) is (3, -4).