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

  • Context: MHB 
  • Thread starter Thread starter mathdad
  • Start date Start date
  • Tags Tags
    Line Slope
Click For Summary
SUMMARY

The slope of the line passing through the points (x, x^2) and (x + h, (x + h)^2) is definitively calculated as 2x + h. This conclusion is derived using the formula for slope, m = delta(y)/delta(x). The discussion confirms that applying this formula is essential for determining the slope in this context.

PREREQUISITES
  • Understanding of the slope formula m = delta(y)/delta(x)
  • Familiarity with coordinate geometry
  • Basic knowledge of quadratic functions
  • Ability to manipulate algebraic expressions
NEXT STEPS
  • Study the derivation of the slope formula in detail
  • Explore the properties of quadratic functions
  • Learn about limits and their application in calculus
  • Investigate the concept of derivatives and their geometric interpretation
USEFUL FOR

Students in mathematics, educators teaching coordinate geometry, and anyone interested in understanding the fundamentals of calculus and algebraic functions.

mathdad
Messages
1,280
Reaction score
0
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)?
 
Physics news on Phys.org
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.
 

Similar threads

Replies
3
Views
2K
Replies
2
Views
1K
  • · Replies 5 ·
Replies
5
Views
4K
  • · Replies 2 ·
Replies
2
Views
1K
  • · Replies 2 ·
Replies
2
Views
2K
  • · Replies 59 ·
2
Replies
59
Views
79K
  • · Replies 4 ·
Replies
4
Views
5K
  • · Replies 12 ·
Replies
12
Views
4K
Replies
2
Views
2K
Replies
5
Views
2K