Which point is located on the line represented by the equation y + 4 = -5(x - 3)?
(-4 -5)
(-5 -4)
(3 -4)
(-3 4)
To find which point is located on the line represented by the equation y + 4 = -5(x - 3), we need to substitute the coordinates of each point into the equation and see which one satisfies it.
Let's start by testing the first option (-4, -5):
-5 + 4 = -5(-4 - 3)
-1 = -5(-7)
-1 = 35
This does not satisfy the equation, so (-4, -5) is not on the line.
Next, let's test the second option (-5, -4):
-4 + 4 = -5(-5 - 3)
0 = 40
This also does not satisfy the equation, so (-5, -4) is not on the line.
Now let's test the third option (3, -4):
-4 + 4 = -5(3 - 3)
0 = 0
This satisfies the equation, so (3, -4) is located on the line.
Finally, let's test the last option (-3, 4):
4 + 4 = -5(-3 - 3)
8 = 30
This does not satisfy the equation, so (-3, 4) is not on the line.
Therefore, the point located on the line represented by the equation y + 4 = -5(x - 3) is (3, -4).