which point is located on the line represented by the equation y+8=3/7(x-5)
(5,-8)
(-5,8)
(3/7,5)
8,-5)
(-8,5)
To find which point is located on the line represented by the equation, we can substitute the x and y values of each point into the equation and check if they satisfy the equation.
1) (5, -8)
Substituting the x and y values into the equation:
-8 + 8 = 3/7(5 - 5)
0 = 3/7(0)
0 = 0
The equation is satisfied.
2) (-5, 8)
Substituting the x and y values into the equation:
8 + 8 = 3/7(-5 - 5)
16 = 3/7(-10)
16 = -30/7
The equation is not satisfied.
3) (3/7, 5)
Substituting the x and y values into the equation:
5 + 8 = 3/7(3/7 - 5)
13 = 3/7(-34/7)
13 = -102/49
The equation is not satisfied.
4) (8, -5)
Substituting the x and y values into the equation:
-5 + 8 = 3/7(8 - 5)
3 = 3/7(3)
3 = 9/7
The equation is not satisfied.
5) (-8, 5)
Substituting the x and y values into the equation:
5 + 8 = 3/7(-8 - 5)
13 = 3/7(-13)
13 = -39/7
The equation is not satisfied.
Therefore, the point located on the line represented by the equation is (5, -8).