Determine if the lines L1 and L2 passing through the give pair of points are parallel, perpendicular, or neither. L1: (-2, -3), (1, 3) and L2: (4, 5), (-4, -11)
just figure their slopes.
If the slopes are the same, L1║L2.
If their product is -1, then L1┴L2.
Otherwise, neither.
To determine if lines L1 and L2 passing through the given pair of points are parallel, perpendicular, or neither, we can use their slopes.
The slope of a line passing through two points (x1, y1) and (x2, y2) can be calculated using the formula:
slope = (y2 - y1) / (x2 - x1)
Let's calculate the slopes of lines L1 and L2:
For line L1, using the points (-2, -3) and (1, 3):
slope of L1 = (3 - (-3)) / (1 - (-2))
= 6 / 3
= 2
For line L2, using the points (4, 5) and (-4, -11):
slope of L2 = (-11 - 5) / (-4 - 4)
= (-16) / (-8)
= 2
Since the slopes of lines L1 and L2 are both 2, they are parallel to each other.
Therefore, the lines L1 and L2 passing through the given pair of points are parallel.