Geometry.Pg 223.#14

[manigraja100]

Q-Perpendicular lines m and n intersect at pt (a,b) where a>b>0.The slope of line m is between 0 and 1.

The expalnations proves that the product of x and y intercepts of line m is "must" not be positive.
How can it be always negative ? if the x intercept is is positive there are possible positive y intercepts for line m and also if the x intercept is is negative there are possible negative y intercepts for line m. isn't it ?
Also,what should i understand from the part that "slope of line m is between 0 and 1" ?

[tommywallach]

Hey Mani,

Your second question would answer your first question. If something has a slope between 0 and 1, that means it's between a horizontal line (0 rise / infinite run) and a 45 degree line (a slope of 1 means that it rises one unit for every 1 unit it runs). Once you know this, you can try to draw some lines, and you should see why the rest of the question goes the way it does.

-t