Final answer:
To find the equation for the perpendicular bisector of line AB, find the slope and midpoint of line AB and use the point-slope equation and standard form equation of a line.
Step-by-step explanation:
To find the equation for the perpendicular bisector of line AB, we need to determine the slope and midpoint of line AB. The slope of line AB can be found using the formula (y2 - y1)/(x2 - x1), where (x1, y1) and (x2, y2) are the coordinates of points A and B, respectively. The midpoint of line AB can be found using the formula ((x1 + x2)/2, (y1 + y2)/2).
Once we have the slope and midpoint, we can use the point-slope equation of a line to find the equation of the perpendicular bisector. The point-slope equation is given by y - y1 = m(x - x1), where m is the slope and (x1, y1) is the midpoint.
Finally, we can simplify the equation to the standard form Ax + By = C, where A, B, and C are constants.