To determine if the graph represents the equation \( y = 15x \), let's analyze the given points and the information:
- The points plotted are \( (0, 0) \) and \( (5, 1) \).
- For the equation \( y = 15x \):
- When \( x = 0 \): \( y = 15(0) = 0 \) (which matches the point (0,0)).
- When \( x = 5 \): \( y = 15(5) = 75 \) (which does not match the point (5, 1)).
Now checking the alternative expression based on the point \( (5, 1) \):
- The slope (rise/run) between the points \( (0, 0) \) and \( (5, 1) \) can be calculated:
- Rise = \( 1 - 0 = 1 \)
- Run = \( 5 - 0 = 5 \)
- Slope \( m = \frac{1}{5} \).
This slope suggests a different equation, specifically the equation of a line with a slope of \( \frac{1}{5} \), which is \( y = \frac{1}{5}x \).
Based on the above analysis, the correct response is:
No, it is not the correct graph because the ordered pair (1, 5) is not a point on the graph of \( y = 15x \).