A linear equation is an algebraic equation in which each term is either a constant or the product of a constant and a single variable. The graph of a linear equation is a straight line.
To determine if an equation is linear, you can check if it follows the form y = mx + b, where m is the slope and b is the y-intercept. If it does, then the equation is linear. You can also graph the equation and see if it forms a straight line.
The slope of a linear equation is the measure of the steepness of the line. It is represented by the letter m and is calculated by dividing the change in y-values by the change in x-values between any two points on the line.
The y-intercept of a linear equation is the point at which the line intersects the y-axis. To find it, you can set the x-value to 0 and solve for y. The resulting value will be the y-intercept.
Determining if an equation is linear is important in many areas of science and mathematics as it helps in understanding and predicting relationships between variables. It also allows for the use of various methods, such as slope and y-intercept, to solve problems and make predictions based on data.
