Math Problem Statement
Which group of ordered pairs are on the line given by the equation 5x - 2y =6?
Solution
To determine which group of ordered pairs lies on the line given by the equation , we need to check whether each ordered pair satisfies the equation.
For an ordered pair to lie on the line, it must satisfy the equation: Substitute the and 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:
- What method is used to solve a system of equations with two lines?
- Can you convert the equation to slope-intercept form?
- What is the slope of the line ?
- What happens if an ordered pair doesn't satisfy the equation of a line?
- How do you find the x-intercept and y-intercept of the line?
Tip: Converting equations into slope-intercept form makes it easier to understand the line's properties.
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Math Problem Analysis
Mathematical Concepts
Linear Equations
Coordinate Geometry
Algebra
Formulas
5x - 2y = 6
Slope-Intercept form: y = mx + b
Theorems
Linear Equation Properties
Suitable Grade Level
Grades 8-10