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SashulF [63]
3 years ago
9

(-1,2) and (3,4) what's the midpoint ? Show work please.

Mathematics
1 answer:
babymother [125]3 years ago
7 0
The midpoint formula is:
( \frac{x1 + x2}{2} ,  \frac{y1+y2}{2} )
Insert your coordinates.
(\frac{-1+3}{2},  \frac{2+4}{2}) =  (\frac{2}{2},  \frac{6}{2} )
Simplify.
(1,3)
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Nikolay [14]
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Here's another way to look at it:

When you visually plot the inverse, you reflect everything over the line y = x. What happens is that every (x,y) point swaps coordinates. So if (1,2) is on g(x), then (2,1) is on the inverse, and vice versa. Swapping the x and y values will swap the nature of the tangent slope.

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The corresponding slope on the inverse will be n = (dx)/(dy). All that's happened here is that the numerator and denominator flipped. Again because x and y have swapped places. If you wanted, you can picture the xy axis where the vertical axis is the x axis and the horizontal axis is the y axis. That's effectively what is going on here. 

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