Line m passes through points (5, 1) and (7, 10). Line n passes through points (9, 10) and (7, 1). Are line m and line n parallel or perpendicular?
To determine if line m and line n are parallel or perpendicular, we need to find the slope of each line.
The slope of line m can be calculated using the formula:
m = (y2 - y1) / (x2 - x1)
m = (10 - 1) / (7 - 5)
m = 9 / 2
m = 4.5
The slope of line n can be calculated using the formula:
m = (y2 - y1) / (x2 - x1)
m = (1 - 10) / (7 - 9)
m = -9 / -2
m = 4.5
Since the slopes of the two lines are equal, line m and line n are parallel.