hich point is located on the line represented by the equation y + 8 = 37(x − 5)

The given line is represented by the equation \( y + 8 = 37(x - 5) \). To find out which point lies on this line, we can substitute the x and y values of each point into the equation and see if the equation holds true.

Let's try each point:

1. Point (−8, 5):

Substitute \( x = -8 \) and \( y = 5 \) into the equation: \( 5 + 8 = 37(-8 - 5) \)
Simplifying, we get: \( 13 \neq 37(-13) \), which is not true.

2. Point (8, −5):

Substitute \( x = 8 \) and \( y = -5 \) into the equation: \( -5 + 8 = 37(8 - 5) \)
Simplifying, we get: \( 3 = 37(3) \), which is also not true.

3. Point (−5, 8):

Substitute \( x = -5 \) and \( y = 8 \) into the equation: \( 8 + 8 = 37(-5 - 5) \)
Simplifying, we get: \( 16 = 37(-10) \), which is clearly not true.

4. Point (37, 5):

Substitute \( x = 37 \) and \( y = 5 \) into the equation: \( 5 + 8 = 37(37 - 5) \)
Simplifying, we get: \( 13 = 37(32) \), which is not true.

None of the listed points satisfy the equation of the line. It's possible there might be an error in the way the question or the options are formulated. To determine the correct point that lies on the line, we should find a pair (x, y) that satisfies the equation when substituted into it.

To see if any mistake was made, let's do a general check with the formula provided. Rearrange the equation to solve for y:

\( y = 37(x - 5) - 8 \)

This simplifies to:

\( y = 37x - 185 - 8 \)
\( y = 37x - 193 \)

Now, let's find a point that satisfies this equation:

Let x = 5 (since it's mentioned in the original equation):

\( y = 37(5) - 193 \)
\( y = 185 - 193 \)
\( y = -8 \)

So the point (5, -8) is on the line, but this point is not among the options you've provided. It seems there might be a transcription error with the given points or none of the provided options are correct.