Question In the \( x y \)-plane, the slope of the line \( y=4 x+1 \) is greater than the slope of the the following must be true about \( m \) ?

The slope of the line \( y = 4x + 1 \) is 4. For any line to have a slope that is less than this, the slope \( m \) must be any real number less than 4. So, you can say \( m < 4 \) must hold true for the given condition! Additionally, remember that in the world of slope, a greater number means a steeper incline! Hence, the greater the slope, the more vertical the line appears. This means if you were to plot lines with slopes like 3, 2, or even 1, they would all have less steepness compared to your line, going gently up the hill while 4 is on a steeper path.