Answer:
The lines are perpendicular.
Step-by-step explanation:
If the lines are parallel, then the slopes are equal
If the lines are perpendicular, then the slopes are negative reciprocals
If neither of the above occur, then the lines are neither parallel or perpendicular.
y = 2x + 3 is in slope-intercept form, so the slope = 2
2y + x = 6
Solve for y: 2y = -x + 6
y = -1/2(x) + 3 so the slope = -1/2
2 and -1/2 are negative reciprocals, so the lines are perpendicular.
Note: Negative reciprocals have a product of -1. 2(-1/2) = -1
