Tell whether the lines through these pairs of points are parallel, perpendicular, or neither. Line 1: (-3, 2) and (4, 6); Line 2: (-5, 7) and (-9, 14)(1 point) Responses parallel parallel perpendicular perpendicular neither

Answer 1

To determine whether the lines are parallel, perpendicular, or neither, we can find the slopes of the lines.

The slope of a line passing through two points (x₁, y₁) and (x₂, y₂) is given by the formula:

slope = (y₂ - y₁) / (x₂ - x₁)

For Line 1: (-3, 2) and (4, 6)
Slope_1 = (6 - 2) / (4 - (-3))
= 4 / 7

For Line 2: (-5, 7) and (-9, 14)
Slope_2 = (14 - 7) / (-9 - (-5))
= 7 / -4
= -7/4

Since the slopes of Line 1 and Line 2 are not equal and not negative reciprocals of each other, the lines are neither parallel nor perpendicular.

Therefore, the answer is neither.