Which group of ordered pairs are on the line given by the equation 5x -  2y =6?

To determine which group of ordered pairs lies on the line given by the equation \(5x - 2y = 6\), we need to check whether each ordered pair satisfies the equation.

For an ordered pair \((x, y)\) to lie on the line, it must satisfy the equation:
\[
5x - 2y = 6.
\]
Substitute the \(x\) and \(y\) values of each pair into this equation and verify if the equation holds.

Please provide the ordered pairs you'd like to test, or I can generate a few to demonstrate.

Would you like to see more details or check a specific group of points? 

Here are 5 follow-up questions that might help:
1. What method is used to solve a system of equations with two lines?
2. Can you convert the equation \(5x - 2y = 6\) to slope-intercept form?
3. What is the slope of the line \(5x - 2y = 6\)?
4. What happens if an ordered pair doesn't satisfy the equation of a line?
5. How do you find the x-intercept and y-intercept of the line?

**Tip:** Converting equations into slope-intercept form \((y = mx + b)\) makes it easier to understand the line's properties.

Which group of ordered pairs are on the line given by the equation 5x -  2y = 6?

Discover how to determine which ordered pairs lie on the line given by the equation 5x - 2y = 6. Learn to test each pair by substituting the values into the linear equation. This topic explores concepts in algebra and coordinate geometry, suitable for students in Grades 8-10.

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