Line Equation in One Variable:

The equation of a line in one variable is represented as y = mx + c, where:
- y is the dependent variable,
- x is the independent variable,
- m is the slope of the line, and
- c is the y-intercept of the line.

Slope (m):
The slope of a line determines its steepness or incline. It is the ratio of the vertical change (rise) to the horizontal change (run) between two points on the line. A positive slope indicates an upward trend, while a negative slope indicates a downward trend.

Y-intercept (c):
The y-intercept is the point where the line intersects the y-axis. It is the value of y when x is equal to zero. The y-intercept gives us the starting point of the line on the y-axis.

Graphical Representation:
When plotted on a graph, the line equation y = mx + c forms a straight line. The slope determines the angle at which the line rises or falls, while the y-intercept locates where the line crosses the y-axis.

Applications:
- Line equations are used in various fields such as physics, engineering, economics, and more to represent relationships between variables.
- They are also used in linear regression analysis to model and predict trends in data.

In conclusion, understanding the equation of a line in one variable allows us to interpret and analyze relationships between variables, make predictions, and solve real-world problems efficiently.

2x=6
x=3