Which point is located on the line represented by the equation y+4=-5(x-3)?
A. (-4, -5)
B. (-5, -4)
C. (3, -4)
D. (-3, 4)
To find which point is located on the line represented by the equation, we need to substitute the coordinates into the equation and see if it is true.
Let's substitute the coordinates from each option into the equation:
A. (-4, -5): -5 + 4 = -5(-4 - 3) -> -1 = 35
B. (-5, -4): -4 + 4 = -5(-5 - 3) -> 0 = 45
C. (3, -4): -4 + 4 = -5(3 - 3) -> 0 = 0
D. (-3, 4): 4 + 4 = -5(-3 - 3) -> 8 = 30
The only pair of coordinates that satisfies the equation is (3, -4).
Therefore, the correct answer is C. (3, -4).