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Kitty [74]
3 years ago
13

Explain the relationship between tangent and the slope of a line

Mathematics
2 answers:
slamgirl [31]3 years ago
7 0
<span>The secant line is a line that connects two points on the graph of a function. The tangent line is the line that is basically the slope of a function at a given point. (So secant line is the slope of a line through TWO points, tangent line is slope of a function at ONE point) The derivative finds the slop at any given point on a function. Basically the derivative is the tangent line at ANY point given for the function f(x).
</span>
pashok25 [27]3 years ago
6 0
<span>The secant line is a line that connects two points on the graph of a function. The tangent line is the line that is basically the slope of a function at a given point</span>
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It is redundant to say an integer is 3 greater than a multiple of 3 (that's just a multiple of 3, we've got it covered).  Same for 4, 5, 6, 7...

Let's consider a number which is a multiple of 3.  Clearly, we can write 3+3+3+3+... until we reach the number.  It can be written as only 3's.

Let's consider a number which is 2 greater than a multiple of 3.  If we subtract 5 from that number, it'll be a multiple of 3.  That means we can write the number as 5+3+3+3+3+...  Of course, the number must be at least 8.

Let's consider a number which is 1 greater than a multiple of 3.  If we subtract 5 from that number, it'll be 2 greater than a multiple of 3.  If we subtract another 5, it'll be a multiple of 3.  That means we can write the number as 5+5+3+3+3+3+...  Of course, the number must be at least 13.

That's it.  We considered all the numbers.  We forgot 9, 10, 11, and 12, but these are easy peasy.

Beautiful question.
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