What form is represented by ax + by = c?

The equation ( ax + by = c ) represents the standard form of a linear equation. In standard form, the coefficients of ( x ) and ( y ) are integers, and typically, ( a ) should be non-negative. This format is widely used in algebra as it allows for easy identification of the x-intercept and y-intercept by rearranging the equation.

In contrast, the slope-intercept form is represented as ( y = mx + b ), which explicitly shows the slope ( m ) and the y-intercept ( b ). The point-slope form takes the structure ( y - y_1 = m(x - x_1) ), focusing on the slope and a specific point ((x_1, y_1)) on the line. The general form often refers to polynomial equations and is not typically associated with linear equations in two variables. Thus, the characteristics of ( ax + by = c ) align with the definition and properties of standard form.