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 the point located on the line represented by the equation y + 4 = –5(x – 3), we need to substitute the x and y values from the given options into the equation and see which one satisfies it.
Let's check option (–4, –5):
Substituting x = -4 and y = -5 into the equation:
-5 + 4 = -5(-4 - 3)
-1 = -5(-7)
-1 = 35
Since -1 is not equal to 35, (–4, –5) is not located on the line.
Now, let's check option (–5, –4):
Substituting x = -5 and y = -4 into the equation:
-4 + 4 = -5(-5 - 3)
0 = -5(-8)
0 = 40
Since 0 is not equal to 40, (–5, –4) is not located on the line.
Next, let's check option (3, –4):
Substituting x = 3 and y = -4 into the equation:
-4 + 4 = -5(3 - 3)
0 = 0
Since 0 is equal to 0, (3, -4) is located on the line.
Finally, let's check option (–3, 4):
Substituting x = -3 and y = 4 into the equation:
4 + 4 = -5(-3 - 3)
8 = -5(-6)
8 = 30
Since 8 is not equal to 30, (–3, 4) is not located on the line.
Therefore, the point located on the line represented by the equation y + 4 = –5(x – 3) is (3, -4).