MHB How Do You Solve Linear Equations with Given Coordinates?

  • Thread starter Thread starter Sarahq
  • Start date Start date
AI Thread Summary
To solve linear equations using given coordinates, identify the slope (m) by calculating the change in y over the change in x, which is -2 in this case. The linear equation is structured as y = mx + b, where m represents the slope and b is the y-intercept. By substituting known values into the equation, you can solve for b, resulting in the equation y = -2x + 3. Finally, to find specific values, set y to the desired number and solve for x. This method provides a clear approach to determining linear relationships from coordinates.
Sarahq
Messages
1
Reaction score
0
16368478379993046955366016216983.jpg
 
Mathematics news on Phys.org
Hi Sarahq, and welcome to MHB!

For your Problem 5, you should notice that as $X$ increases by $1$, $Y$ decreases by $2$. So the equation between $X$ and $Y$ should start as $Y = \dfrac{-2}1X \ldots$. You should then be able to find the constant term to complete the equation.
 
Hi Sarahq,

The formula for linear equations is
\[ y = mx+b \]
m = slope and b = shift on the y-axis.

The following formula is used to calculate the slope m
\[ m = \frac{y_2-y_1}{x_2-x_1} \]
(here -2/1 = -2)
Use x-, y-values and m to calculate b:
\[ -23 = -2 * 13 + b \]
solve for b:
\[ -23 = -26 + b | +26 \]
\[ 3 = b \]
so:
\[ y = -2x + 3 \]
Now just set y = 31 and solve for x.
Hope it was helpfull :)
 

Thread 'Non-orthogonal bases'

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...
View full post »

Thread 'What Exactly is Dirac’s Delta Function? - Insight'

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...
View full post »

Similar threads

MHB Can You Find the Angle in This Isosceles Triangle Problem?
Replies
1
Views
1K
MHB Find the amount of sand in each bag
Replies
1
Views
1K
MHB Find the area of the shaded region
Replies
2
Views
1K
MHB Linear combination of sine and cosine function
Replies
3
Views
1K
I Polygon Coordinates given the Area and Center point
Replies
10
Views
2K
I Using an array to solve a system of equations
Replies
7
Views
2K
I How do you solve systems of equations in complex physics problems?
Replies
6
Views
2K
B Solving Simultaneous equations with cos() and sin()
Replies
4
Views
1K
MHB Can the Partial Sum of a Difficult Series be Solved with Induction?
Replies
6
Views
2K
MHB How Do You Find the X-Coordinates of Points A and B on the Line y = (x/2) + 1?
Replies
6
Views
2K

Hot Threads

Recent Insights

Back
Top