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 determine which point is on the line represented by the equation, we need to substitute the x and y values of each option into the equation and see if it satisfies the equation.
For option (-5,8):
y + 8 = 3/7 (x - 5)
8 + 8 = 3/7 (-5 - 5)
16 = 3/7 (-10)
16 = -30/7
The equation is not satisfied, so (-5,8) is not on the line.
For option (5,-8):
y + 8 = 3/7 (x - 5)
-8 + 8 = 3/7 (5 - 5)
0 = 0
The equation is satisfied, so (5,-8) is on the line.
For option (3/7,5):
y + 8 = 3/7 (x - 5)
5 + 8 = 3/7 (3/7 - 5)
13 = 3/7 (-35/7)
13 = -105/49
The equation is not satisfied, so (3/7,5) is not on the line.
For option (8,-5):
y + 8 = 3/7 (x - 5)
-5 + 8 = 3/7 (8 - 5)
3 = 3/7 (3)
3 = 9/7
The equation is not satisfied, so (8,-5) is not on the line.
For option (-8,5):
y + 8 = 3/7 (x - 5)
5 + 8 = 3/7 (-8 - 5)
13 = 3/7 (-13)
13 = -39/7
The equation is not satisfied, so (-8,5) is not on the line.
Therefore, the only point on the line represented by the equation is (5,-8).