Step-by-step explanation and Answer:
In a two-dimensional Cartesian coordinate system, the slope of a line is determined by the change in y-values divided by the change in x-values between two points on the line. This is often referred to as “rise over run.”
A line with a slope of 1 rises (or falls) by one unit for each unit run to the right (or left). An example of such a line is y = x + b, where b is the y-intercept.
A line with a slope of 2 rises (or falls) by two units for each unit run to the right (or left). An example of such a line is y = 2x + b, where b is the y-intercept.
In both cases, the y-intercept b can be any real number, and it determines where the line crosses the y-axis. The slope determines the steepness or incline of the line. A larger slope means a steeper incline.