The slope equation between points a and b for this beam will be a function of x to the first power. This means that the slope equation can be written as y = mx + b, where m is the slope of the line and x is the variable.
The slope of a line is defined as the change in y divided by the change in x. In other words, it tells us how steep the line is. In the equation y = mx + b, m represents the slope. Since the slope equation between points a and b for this beam is a function of x to the first power, it means that the slope is constant and does not change with x. It remains the same throughout the beam.