To determine if the graph accurately represents the equation \( y = 15x \), we need to analyze the slope and the points provided.
The two points given are \( (0, 0) \) and \( (5, 1) \).
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Check the point (0, 0): This point satisfies the equation \( y = 15x \) because when \( x = 0 \), \( y \) also equals \( 0 \).
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Find the slope between the points (0, 0) and (5, 1):
- The slope \( m \) is calculated as \( m = \frac{\text{rise}}{\text{run}} \).
- From \( (0, 0) \) to \( (5, 1) \):
- The rise = \( 1 - 0 = 1 \)
- The run = \( 5 - 0 = 5 \)
- Thus, \( m = \frac{1}{5} \).
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Compare with the slope of the given equation:
- The slope of \( y = 15x \) is \( 15 \), significantly different from \( \frac{1}{5} \).
Given that the slope calculated from the points does not match the slope of the equation \( y = 15x \), we conclude that this is not the correct graph for that equation.
Therefore, the appropriate response is:
No, it is not the correct graph because the slope \( m = \frac{\text{rise}}{\text{run}} = \frac{1}{5} \).