If two lines are perpendicular, their slopes are negative reciprocals. True or false
2 answers:
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The correct answer is B
Let us do the first product,
We have;
We can re-group the sign and the numbers to obtain;
But we know that; negative times negative is positive. So the product becomes,
Similarly for the second product,
We have;
We can again re-group the sign and the numbers to obtain;
But we know that; negative times negative is positive. So the product becomes,
Putting all together gives,
Finally, positive times positive will also give positive. That is,
Let us do the first product,
We have;
We can re-group the sign and the numbers to obtain;
But we know that; negative times negative is positive. So the product becomes,
Similarly for the second product,
We have;
We can again re-group the sign and the numbers to obtain;
But we know that; negative times negative is positive. So the product becomes,
Putting all together gives,
Finally, positive times positive will also give positive. That is,