Let and
be these consecutive integers. For some base
, we can write
If
then
Now,
Squaring both sides gives
and so
(because the base has to be non-zero)
Evaluate -5 - 15 + 4 + 15
2 answers:
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For this case we have that by definition, the equation of a line in the slope-intersection form is given by:
Where:
m: It's the slope
b: It is the cut-off point with the y axis
On the other hand we have that if two lines are perpendicular, then the product of their slopes is -1. So:
The given line is:
So we have:
We find
So, a line perpendicular to the one given is of the form:
We substitute the given point to find "b":
Finally we have:
In point-slope form we have:
ANswer: