Final answer:
To describe the line segment from (0,0) to (20,20) inclusively, we can use the equation y = x.
Step-by-step explanation:
To find a function that describes the line segment from (0,0) to (20,20) inclusively, we can use the equation of a line. The equation of a line can be written in slope-intercept form as y = mx + b, where m is the slope of the line and b is the y-intercept.
Since the line passes through the points (0,0) and (20,20), we can calculate the slope using the formula m = (y₂ - y₁) / (x₂ - x₁). Substituting the values, we get m = (20 - 0) / (20 - 0) = 1. The y-intercept can be found by substituting the slope and one of the points into the equation and solving for b. Plugging in the slope m = 1 and the point (0,0), we get 0 = 1(0) + b, which gives b = 0.
Therefore, the equation of the line that describes the line segment from (0,0) to (20,20) inclusively is y = x.