MHB How to Calculate the Slope of a Line Through Two Points?

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To calculate the slope of a line through two points, use the formula m = delta(y)/delta(x). For the points (x, x^2) and (x + h, (x + h)^2), the slope simplifies to 2x + h. This confirms the relationship between the coordinates and the slope. Understanding this calculation is essential for further mathematical applications. The discussion concludes with a clear affirmation of the method.
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Show that the slope of the line passing through the two points (x, x^2) and (x + h, (x + h)^2) = 2x + h.

Must I use m = delta(y)/delta(x)?
 
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RTCNTC said:
Show that the slope of the line passing through the two points (x, x^2) and (x + h, (x + h)^2) = 2x + h.

Must I use m = delta(y)/delta(x)?
Yup.

-Dan
 
topsquark said:
Yup.

-Dan

Perfect. I can now proceed.
 
Here is a little puzzle from the book 100 Geometric Games by Pierre Berloquin. The side of a small square is one meter long and the side of a larger square one and a half meters long. One vertex of the large square is at the center of the small square. The side of the large square cuts two sides of the small square into one- third parts and two-thirds parts. What is the area where the squares overlap?

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