Can't someone please help me with these equations.

Question

State whether the lines are parallel, perpendicular, or neither.

16. -14x = -632 - 26y
y = (7/13)x - 316/13

18. x + 6y = 196
689 = (6201/230)y + (4823/460)x

I would really apreciate your help.

Answer 1

arrange the equations into the form
ax + by = c

1. -14x = -632 - 26y ---> 14x - 26y = 632
slope = 14/26 = 7/13

y = (7/13)x - 316/13 ---> 7x - 13y = 316
slope = -7/-13 = 7/13

since the slopes are equal, they must be parallel.

To be perpendicular, their slopes must be opposite reciprocals of each other.

try the second one.