When the value of the slope gets smaller the graph of a line gets steeper?

Actually, when the value of the slope gets smaller (in absolute terms), the graph of the line becomes less steep. A larger slope indicates a steeper line, while a slope closer to zero results in a flatter line. For example, a slope of 2 is steeper than a slope of 0.5. Thus, as the slope decreases from a larger value towards zero, the steepness of the line decreases.