Coordinate Geometry Point on Line

Consider the following points in the coordinate plane: A(1, 2), B(4, 6), and C(7, 2). Determine which point lies on the line that is represented by the equation derived from the points A and B.

First, find the slope of line AB. The slope ($m$) is calculated using the formula:

$$m = \f\frac{y_2 - y_1}{x_2 - x_1}$$

After finding the slope, use point-slope form to write the equation of the line. Then, check each of the points to see if it satisfies the equation.