Find equation for indicated point.

  • Thread starter Thread starter davie08
  • Start date Start date
  • Tags Tags
    Point
AI Thread Summary
To find the equations for the vertical and horizontal lines through the point (2,3), the vertical line is represented by x=2 and the horizontal line by y=3. The horizontal line at y=3 extends across the graph at that height, while the vertical line at x=2 extends up and down through that point. This concept is fundamental in coordinate geometry. The discussion confirms the understanding of these basic equations. The solution is straightforward and reinforces foundational concepts in graphing lines.
davie08
Messages
111
Reaction score
0

Homework Statement


find equations for the vertical and horizontal lines through the indicated point.

(2,3)


Homework Equations





The Attempt at a Solution



the answer says vertical x=2 and horizontal y=3

is it because the line at y=3 on a graph would go horizontally at 3 and a line would go vertically at x=2
 
Physics news on Phys.org
Yes it is.
 
seems pretty basic thanks.
 
I picked up this problem from the Schaum's series book titled "College Mathematics" by Ayres/Schmidt. It is a solved problem in the book. But what surprised me was that the solution to this problem was given in one line without any explanation. I could, therefore, not understand how the given one-line solution was reached. The one-line solution in the book says: The equation is ##x \cos{\omega} +y \sin{\omega} - 5 = 0##, ##\omega## being the parameter. From my side, the only thing I could...
Essentially I just have this problem that I'm stuck on, on a sheet about complex numbers: Show that, for ##|r|<1,## $$1+r\cos(x)+r^2\cos(2x)+r^3\cos(3x)...=\frac{1-r\cos(x)}{1-2r\cos(x)+r^2}$$ My first thought was to express it as a geometric series, where the real part of the sum of the series would be the series you see above: $$1+re^{ix}+r^2e^{2ix}+r^3e^{3ix}...$$ The sum of this series is just: $$\frac{(re^{ix})^n-1}{re^{ix} - 1}$$ I'm having some trouble trying to figure out what to...
Back
Top