- #1
Sarahq
- 1
- 0
How Do You Solve Linear Equations with Given Coordinates?
- Context: MHB
- Thread starter Sarahq
- Start date
Click For Summary
SUMMARY
The discussion focuses on solving linear equations using given coordinates, specifically demonstrating the relationship between X and Y. The slope (m) is calculated as -2 using the formula \( m = \frac{y_2-y_1}{x_2-x_1} \). The complete equation derived is \( y = -2x + 3 \), where the constant term (b) is determined to be 3. The final step involves setting Y to 31 and solving for X.
PREREQUISITES- Understanding of linear equations and their standard form
- Familiarity with slope calculation using coordinate pairs
- Basic algebra skills for solving equations
- Knowledge of the Cartesian coordinate system
- Practice calculating slopes using different coordinate pairs
- Learn how to graph linear equations on a Cartesian plane
- Explore systems of linear equations and methods for solving them
- Study the concept of intercepts in linear equations
Students learning algebra, educators teaching linear equations, and anyone interested in improving their problem-solving skills in mathematics.
- #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 :)
Similar threads
- · Replies 1 ·
- · Replies 19 ·
- · Replies 7 ·
- · Replies 9 ·
- · Replies 3 ·
- · Replies 5 ·
- · Replies 4 ·
- · Replies 2 ·
- · Replies 2 ·
- · Replies 1 ·