There is a basic connection between linear equations and straight lines: every linear equation can be represented by a straight line, and every straight line can be represented by a linear equation. A linear equation is essentially a mathematical representation of a straight line. An algebraic equation that has a variable with an exponent of 1 for each term is called a linear equation. Such equations always produce a straight line on a graph. Plotting points that satisfy the equation and then joining them with a straight line is how you graph a linear equation. A linear relationship between the variables on the axes is shown by a straight line. This implies that the other variables will alter proportionately if one does.

A straight line's slope indicates its direction and degree of steepness. The "rise over run," or the ratio of the change in the y-coordinate to the change in the x-coordinate between any two places on the line, is how it is computed. A downhill tendency is shown by a negative slope, whereas an upward trend from left to right is indicated by a positive slope.

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