MHB Point on Graph of Equation....2

  • Thread starter Thread starter mathdad
  • Start date Start date
  • Tags Tags
    Graph Point
AI Thread Summary
The discussion confirms that the point (a - 1, a + 1) lies on the graph of the equation y = x + 2. By substituting x with a - 1, the resulting y value matches the original point's y coordinate, a + 1. The calculations demonstrate that both sides of the equation are equal, validating the point's position on the graph. Thus, it is concluded that the point indeed lies on the graph of the equation. The verification process is accurate and supports the conclusion.
mathdad
Messages
1,280
Reaction score
0
Determine if the given point lies on the graph of the equation.

(a - 1, a + 1); y = x + 2

Let x = a - 1

Let y = a + 1

y = x + 2

a + 1 = a - 1 + 2

a + 1 = a + 1

Yes, the given point lies on the graph of y = x + 2.

Correct?
 
Mathematics news on Phys.org
Checking:

y = x + 2

Let x = a - 1

y = a - 1 + 2

y = a + 1

After plugging x = a - 1 into the linear equation y = x + 2, I found the original value of y given in the point. So, I conclude that the point (a - 1, a + 1) lies on the graph of the equation.

Correct?
 
Suppose ,instead of the usual x,y coordinate system with an I basis vector along the x -axis and a corresponding j basis vector along the y-axis we instead have a different pair of basis vectors ,call them e and f along their respective axes. I have seen that this is an important subject in maths My question is what physical applications does such a model apply to? I am asking here because I have devoted quite a lot of time in the past to understanding convectors and the dual...
Fermat's Last Theorem has long been one of the most famous mathematical problems, and is now one of the most famous theorems. It simply states that the equation $$ a^n+b^n=c^n $$ has no solutions with positive integers if ##n>2.## It was named after Pierre de Fermat (1607-1665). The problem itself stems from the book Arithmetica by Diophantus of Alexandria. It gained popularity because Fermat noted in his copy "Cubum autem in duos cubos, aut quadratoquadratum in duos quadratoquadratos, et...
Insights auto threads is broken atm, so I'm manually creating these for new Insight articles. In Dirac’s Principles of Quantum Mechanics published in 1930 he introduced a “convenient notation” he referred to as a “delta function” which he treated as a continuum analog to the discrete Kronecker delta. The Kronecker delta is simply the indexed components of the identity operator in matrix algebra Source: https://www.physicsforums.com/insights/what-exactly-is-diracs-delta-function/ by...

Similar threads

Replies
3
Views
2K
Replies
3
Views
1K
Replies
2
Views
1K
Replies
2
Views
1K
Replies
1
Views
1K
Replies
20
Views
2K
Replies
5
Views
1K
Replies
2
Views
1K
Back
Top