Final answer:
The equation of line mm is y = (3/2)x + 1.
Step-by-step explanation:
To determine the equation of line mm, we first need to find the slope (m) and y-intercept (b) of the line. The slope can be found using the formula: m = (y2 - y1) / (x2 - x1). Using the given points (2,4) and (0,1), we can calculate m as follows: m = (4-1) / (2-0) = 3/2. The y-intercept can be determined by substituting the slope and one of the given points into the slope-intercept form, y = mx + b. Let's use the point (2,4). Substitute m = 3/2, x = 2, and y = 4 into the equation and solve for b: 4 = (3/2)(2) + b. Simplifying, we get: 4 = 6/2 + b. 4 = 3 + b. Subtracting 3 from both sides gives: 1 = b. Therefore, the equation of line mm is: y = (3/2)x + 1.