The graph of a line gets _____ as the value of the slope gets smaller.A.longerB.less steepC.shorterD.steeper

To determine how the graph of a line changes with the value of the slope, let's analyze the options provided:

1. Understanding Slope: The slope of a line (m) indicates its steepness. A larger positive slope means that the line rises sharply, while a smaller slope (closer to zero) means the line is less steep.

2. Analyzing Options:

   • A. Longer: The length of the line segment is not affected by the slope.
   • B. Less steep: As the slope decreases (i.e., gets smaller), the line becomes less steep.
   • C. Shorter: This relates to the physical length of the line and does not change with slope.
   • D. Steeper: This is the opposite of the behavior we're examining, as a smaller slope indicates a less steep line.

3. Conclusion: The correct choice is B. less steep because as the value of the slope gets smaller, the incline of the line decreases, making it less steep.

Final Answer

B. less steep