Answer:
The blank form of a linear equation in two variables is represented as Ax + By = C. In this equation, A, B, and C are constants that represent the coefficients of the variables x and y.
Here's a breakdown of the components of the equation:
1. A: The coefficient of x. It represents the slope of the line. A positive value indicates a line sloping upwards from left to right, while a negative value indicates a line sloping downwards.
2. B: The coefficient of y. It also affects the slope of the line. A positive value indicates a line sloping upwards as y increases, while a negative value indicates a line sloping downwards.
3. C: The constant term. It represents the y-intercept, which is the point where the line intersects the y-axis.
By plugging in specific values for A, B, and C, we can write a linear equation in the form Ax + By = C that corresponds to a particular line on a coordinate plane. For example, if we have A = 2, B = -3, and C = 6, the equation becomes 2x - 3y = 6.
It's important to note that the values of A, B, and C can be any real numbers, except for A and B both being zero simultaneously. In that case, the equation would represent a constant value rather than a line.
In conclusion, the blank form of a linear equation in two variables is Ax + By = C, where A, B, and C represent the coefficients and constant term respectively.
Explanation: