Question

Drag and drop each pair of lines into the correct category to indicate whether the pair of lines are parallel, perpendicular, or neither.

1/7x + y = 9; y = -7x
y = 3x - 3; 12x - 4y = 12
7y = 2x + 1; 14x + 4y = 12
x - 4y = 18; y = x + 4
3x - 4y = -1; 3y = -4x + 5
Parallel Perpendicular Neither​

Answer 1

Explanation:

(1).
`(1)/(7)` x + y = 9 and y = - 7x ( Neither ) ; lines intersect.

(2). y = 3x - 3; 12x - 4y = 12 ( Neither ) ; Lines are overlapped or both equation are of the same line.

(3). 7y = 2x + 1; 14x + 4y = 12 ( Perpendicular ) ;
`m_(1)` =
`(2)/(7)` and
`m_(2)` = -
`(7)/(2)` , slopes are opposite reciprocals.

(4). x - 4y = 18; y = x + 4 ( Neither ) ; lines intersect.

(5). 3x - 4y = - 1; 3y = - 4x + 5 ( Perpendicular ) ;
`m_(1)` =
`(3)/(4)` and
`m_(2)` = -
`(4)/(3)` , slopes are opposite reciprocals.