Using linear equation formula we convert the given situation into mathematical statements illustrating the relationship between the unknowns (variables) from the information provided. Linear Equation is the equation of a straight line and is also known as equations of the first order. We use linear equations in solving our day-to-day problems. Let us understand the linear equation formula in detail in the following sections.
What is Linear Equation Formula?
An equation with the maximum order of 1 and an equation of a straight line is called the linear equation. The linear equation formula can be written in a simple slope-intercept form i.e. y = mx + b, where x and y are the variables, m is the slope of the line, and b, the y-intercept. A slope gets the direction of the line and determines how steep is the line. The value of y when x is 0 is called the y-intercept because (0,y) is the point at which the line crosses the y-axis. Hence, the linear equation formula is given by:
Applying the linear equation formula(y= mx+b), the equation of a straight line that has y-intercept (0, 2) with the slope m= 4 is given by y = 4x+2. The linear equation in one variable, and in two variables can be represented in many forms where a line can be defined in an (x,y) plane. Some of the common forms are: