Graphical Representation of the Pair of Equations
- The given pair of equations are:
6x - 3y + 10 = 0
2x - y + 9 = 0

Lines Represented by the Equations
- When we plot these equations on a graph, we get two lines.
- The first equation, 6x - 3y + 10 = 0, can be rewritten as:
y = 2x + 10/3
- This is a linear equation in the form y = mx + c, where m is the slope and c is the y-intercept.
- The slope of this line is 2, and the y-intercept is 10/3.
- The second equation, 2x - y + 9 = 0, can be rewritten as:
y = 2x + 9
- This is also a linear equation with a slope of 2 and a y-intercept of 9.

Characteristics of the Lines
- Both lines have the same slope of 2, which means they are parallel to each other.
- The lines have different y-intercepts, with one line intersecting the y-axis at 10/3, and the other at 9.

Graphical Representation
- When we plot these lines on a graph, we will see two parallel lines with a slope of 2 but different y-intercepts.
- The lines will never intersect each other as they are parallel.
- The graphical representation of these equations helps us visualize the relationship between them and understand their characteristics.