Given y=(1/2)x-4 and y=2x+5, the lines are perpendicular true or false?

False because the slopes are not the inverse of each other,it will be true if one line had a negative slope.Given y=(1/2)x-4 and y=2x+5, the lines are perpendicular true or false?
Perpendicular lines: Slope is Opposite AND Reciprocal.





y=mx+b, m is slope





so we have slopes of 1/2 and 2.





1/2 and 2 are reciporicals but not oppisites (that would mean one of them would have to be negative). so FALSEGiven y=(1/2)x-4 and y=2x+5, the lines are perpendicular true or false?
Well you have to multiply the slopes so:





1/2 x 2/1 = 2/2 or 1





So the lines are not perpendicular because the product of the 2 slopes has to be -1.
✐Derivation✐





False





Remember:





Perpendicular - the product of two slopes is -1.
FALSE. it would have to be (-1/2) or (-2) to be true.