Question

Given the equations determine if the lines are parallel, perpendicular or neither.

3x + 2y = 7 y= 2/3 x + 8

Answer 1

perpendicular; their slopes are opposite reciprocals

Explanation:

y = (2/3)x + 8

rewrite the first equation to be in point-slope form

3x + 2y = 7

2y = -3x + 7

y = (-3/2)x + (7/2)

their slopes are (2/3) and (-3/2) -- opposite reciprocals