Answer:
No, it is not possible for two lines to be perpendicular and have the same y-intercept.
When two lines are perpendicular, their slopes are negative reciprocals of each other. If two lines have the same y-intercept, it means they intersect at the same point on the y-axis.
If two lines have the same y-intercept, their slopes must be equal. However, if two lines are perpendicular, their slopes cannot be equal. Therefore, it is not possible for two lines to be perpendicular and have the same y-intercept.
In graphical terms, if two lines have the same y-intercept, they are parallel or overlapping, not perpendicular. Perpendicular lines intersect at a right angle and have different y-intercepts
Explanation: