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 5x2y=65x - 2y = 6, we need to check whether each ordered pair satisfies the equation.

For an ordered pair (x,y)(x, y) to lie on the line, it must satisfy the equation: 5x2y=6.5x - 2y = 6. Substitute the xx and yy 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 5x2y=65x - 2y = 6 to slope-intercept form?
  3. What is the slope of the line 5x2y=65x - 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)(y = mx + b) 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