which point is located on the line represented by the equation y+4=-5(x-7)
(-4,7)
(7,-4)
(4,-7)
(-7,4)
To determine which point is located on the line represented by the equation, we substitute the coordinates of each option into the equation and check if it satisfies the equation.
Let's substitute the first option, (-4, 7), into the equation:
y + 4 = -5(x - 7)
7 + 4 = -5(-4 - 7)
11 = -5(-11)
11 = 55 (It does not satisfy the equation)
Now, let's substitute the second option, (7, -4), into the equation:
y + 4 = -5(x - 7)
-4 + 4 = -5(7 - 7)
0 = -5(0)
0 = 0 (It satisfies the equation)
Now, let's substitute the third option, (4, -7), into the equation:
y + 4 = -5(x - 7)
-7 + 4 = -5(4 - 7)
-3 = -5(-3)
-3 = 15 (It does not satisfy the equation)
Lastly, let's substitute the fourth option, (-7, 4), into the equation:
y + 4 = -5(x - 7)
4 + 4 = -5(-7 - 7)
8 = -5(-14)
8 = 70 (It does not satisfy the equation)
Therefore, the only point that satisfies the equation and is located on the line is (7, -4).