Final answer:
The equation of the line passing through (0,1) and (1,2) is y = x + 1.
Step-by-step explanation:
The equation of the line passing through the points (0,1) and (1,2) can be found using the slope-intercept form, which is y = mx + b, where m is the slope and b is the y-intercept.
To find the slope (m), we use the formula: m = (Y2 - Y1) / (X2 - X1) = (2 - 1) / (1 - 0) = 1 / 1 = 1.
Substituting one of the points, (0,1), into the slope-intercept form and solving for b, we get: 1 = 1(0) + b => b = 1.
Therefore, the equation of the line passing through (0,1) and (1,2) is y = x + 1.