Question

Suppose the slope of line AB is greater than 0 and less than 1. What inequality represents the slope of a line perpendicular to line AB? (Hint: This part of the question has one right answer.) Give an example of the slopes for a pair of lines that would satisfy both inequalities

Answer 1

Well well. so, for a line with slope 'm', the criteria would be:

0<m<1

Now the slope of the line perpendicular to a line with slope 'm' one will be "-1/m"

so, try to rewrite the equation above in the form of "-1/m"

so, multiply the whole thing by '-1', and the inequality reverses..

0> -m > -1

now i take the reciprocal:

since 1/0 is infinity,

infinity > -1/m > 0

or, i can write this as:

0< -1/m < infinity

which is basically the same thing.

Answer 2

how is \[{1\over-1}=0\]