Find an equation of the line that passes through the points (1,2) and (2,3).

Sure, here are the steps to find the equation of the line that passes through the points (1,2) and (2,3):

Step 1: Find the slope (m) of the line. The formula to find the slope when given two points, (x1, y1) and (x2, y2), is m = (y2 - y1) / (x2 - x1).

So, m = (3 - 2) / (2 - 1) = 1.

Step 2: Use the point-slope form of a line, which is y - y1 = m(x - x1).

Substitute m = 1 from step 1, and the coordinates of one of the points into the equation. Let's use the point (1,2).

So, y - 2 = 1(x - 1).

Step 3: Simplify the equation to the slope-intercept form (y = mx + b).

So, y = x + 1 is the equation of the line that passes through the points (1,2) and (2,3).