Equation of Line through Two Points

Consider the points A(2, 3), B(5, 7), and C(7, 2) in the Cartesian coordinate plane. You are asked to find the equation of the line that passes through points A and B, and determine the point D, which lies on this line and is at the same perpendicular distance from point C. What is the correct slope-intercept form of the equation of line AB?

To find the slope of the line through points A and B, use the formula:

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

where $(x_1, y_1) = (2, 3)$ for point A and $(x_2, y_2) = (5, 7)$ for point B.