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 determine which point is located on the line, we need to substitute the x-value and y-value of each possible point into the given equation and see if it satisfies the equation.
Let's check each point one by one:
A. (-4,-5)
Substituting the x-value and y-value of point A into the equation:
-5 + 4 = -5((-4) - 3)
-1 = -5(-7)
-1 = 35
The equation is not satisfied.
B. (-5,-4)
Substituting the x-value and y-value of point B into the equation:
-4 + 4 = -5((-5) - 3)
0 = -5(-8)
0 = 40
The equation is not satisfied.
C. (3,-4)
Substituting the x-value and y-value of point C into the equation:
-4 + 4 = -5((3) - 3)
0 = -5(0)
0 = 0
The equation is satisfied.
D. (-3,4)
Substituting the x-value and y-value of point D into the equation:
4 + 4 = -5((-3) - 3)
8 = -5(-6)
8 = 30
The equation is not satisfied.
Only point C (3,-4) satisfies the equation.
Therefore, the answer is C.