- #1
Sarahq
- 1
- 0
How Do You Solve Linear Equations with Given Coordinates?
- MHB
- Thread starter Sarahq
- Start date
In summary, for Problem 5, the equation between $X$ and $Y$ can be represented as $Y = -2X + 3$, with $-2$ as the slope and $3$ as the constant term. By setting $Y = 31$, the corresponding value of $X$ can be solved for.
- #2
Opalg
Gold Member
MHB
- 2,778
- 13
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.
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.
- #3
knoppi
- 1
- 0
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 :)
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 :)
FAQ: How Do You Solve Linear Equations with Given Coordinates?
What is the purpose of a step-by-step guide for solving a problem?
A step-by-step guide provides a clear and organized approach to solving a problem, making it easier to follow and understand the necessary steps. It also helps to ensure that no important steps are missed and increases the chances of successfully solving the problem.
How do I create a step-by-step guide for solving a problem?
To create a step-by-step guide, first identify the problem and break it down into smaller, manageable steps. Then, explain each step in a clear and concise manner, using visual aids or examples if necessary. It is important to also include any potential challenges or roadblocks that may arise and how to overcome them.
Why is it important to follow a step-by-step guide when solving a problem?
Following a step-by-step guide helps to ensure that the problem is solved efficiently and effectively. It also helps to prevent mistakes and confusion, as well as providing a structured approach that can be easily replicated in the future.
Can a step-by-step guide be used for any type of problem?
Yes, a step-by-step guide can be used for any type of problem. It is a flexible and adaptable approach that can be applied to various situations and can be customized to fit the specific needs of the problem at hand.
What are the benefits of using a step-by-step guide to solve a problem?
Some benefits of using a step-by-step guide include increased efficiency and accuracy in problem-solving, improved understanding of the problem and its solution, and the ability to easily replicate the process for future problems. It also helps to build problem-solving skills and critical thinking abilities.