Question

Which of the following is true of two lines that are perpendicular? Their slopes are the same (for example: m1=2, m2=2) Their slopes are the same and have different signs (for example: m1=2, m2=-2) Their slopes are the inverse of each other and have different signs (for example: m1=2, m2=-1/2) Their slopes are the inverse of each other and have the same signs (for example: m1=2, m2=1/2)

Answer 1

perpendicular lines have negative reciprocal slopes of each other, for example hmmm say if one has a slope of a/b, then the other will have the negative reciprocal of that


`\bf \textit{perpendicular, negative-reciprocal slope for}\quad \cfrac{a}{b}\\\\ negative\implies -\cfrac{a}{ b}\qquad reciprocal\implies - \cfrac{ b}{a}`