To find the point located on the line represented by the equation, we need to substitute values for x and y that satisfy the equation.
Let's use the equation: y + 8 = (3/7)(x − 5)
Option A: (8, −5)
Plugging in x = 8 and y = -5 into the equation: -5 + 8 = (3/7)(8 - 5)
3 = (3/7)(3)
The equation is not satisfied.
Option B: (5, −8)
Plugging in x = 5 and y = -8 into the equation: -8 + 8 = (3/7)(5 - 5)
0 = 0
The equation is satisfied.
Option C: (3/7, 5)
Plugging in x = 3/7 and y = 5 into the equation: 5 + 8 = (3/7)(3/7 - 5)
13 = (3/7)(-32/7)
The equation is not satisfied.
Option D: (−8, 5)
Plugging in x = -8 and y = 5 into the equation: 5 + 8 = (3/7)(-8 - 5)
13 = (3/7)(-104/7)
The equation is not satisfied.
Option E: (−5, 8)
Plugging in x = -5 and y = 8 into the equation: 8 + 8 = (3/7)(-5 - 5)
16 = (3/7)(-10)
The equation is not satisfied.
The only point that satisfies the equation is Option B: (5, -8).
Therefore, the correct answer is B. (5, −8).
Which point is located on the line represented by the equation y + 8 = 3/7(x − 5)
?
Responses
A. (8, −5)
B. (5, −8)
C. (3/7, 5)
D. (−8, 5)
E. (−5, 8)
1 answer