linear equation
in the variable x1,…,xn is an equation that can be written in the form a1x1+…+anxn = b where b and the coefficients a1,..,an are all reals
A linear equation is a mathematical equation that also represents a straight line when plotted on a graph. It is an equation where the highest power of the variable is 1. The general form of a linear equation is y = mx + b, where y and x are the dependent and independent variables, respectively.
In this equation, “m” is the slope of the line and “b” is the y-intercept. The slope signifies the steepness or incline of the line, while the y-intercept is the point where the line crosses the y-axis.
For example, the equation y = 2x + 3 represents a line with a slope of 2 and a y-intercept of 3. It shows that for each increase of one in x (independent variable), y (dependent variable) increases by 2.
Linear equations are used in various fields such as physics, engineering, economics, and finance to represent the relationship between two variables. They are also used in data analysis and predictions.
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