A linear equation is an equation that can be written in the form…
a1x1+a2x2+…+anxn=b
A linear equation is an equation that can be written in the form y = mx + b, where m represents the slope of the line and b represents the y-intercept. This form is also known as the slope-intercept form.
In this equation, y represents the dependent variable and x represents the independent variable. The slope of the line represents the rate of change between any two points on the line. It can be calculated by finding the difference in y-coordinates divided by the difference in x-coordinates for two points on the line.
The y-intercept represents the value of y when x is equal to zero. It is the point where the line crosses the y-axis.
Using the slope-intercept form, linear equations can be graphed easily. The slope determines the direction of the line, whether it is increasing or decreasing. The y-intercept determines where the line intersects with the y-axis.
Linear equations are used in many fields of study, such as physics, economics, and engineering, to model relationships between variables. They are also used to make predictions and solve problems.
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