Line c passes through points (9, 10) and (2, 13). Line d passes through points (5, 3) and (8, 10). Are line c and line d parallel or perpendicular?
To determine if two lines are parallel, we need to compare their slopes. If the slopes are equal, the lines are parallel.
To determine if two lines are perpendicular, we need to check if the product of their slopes is -1.
The slope of line c can be calculated using the formula:
slope_c = (y2 - y1) / (x2 - x1)
where (x1, y1) = (9, 10) and (x2, y2) = (2, 13)
slope_c = (13 - 10) / (2 - 9)
slope_c = 3 / -7
slope_c = -3/7
The slope of line d can be calculated using the formula:
slope_d = (y2 - y1) / (x2 - x1)
where (x1, y1) = (5, 3) and (x2, y2) = (8, 10)
slope_d = (10 - 3) / (8 - 5)
slope_d = 7 / 3
Since the slopes of line c and line d are NOT equal, and the product of their slopes is not -1, line c and line d are neither parallel nor perpendicular.