when a converting linear equation into an augmented matrix, which equation form is needed?
A )slope-intercept form
B )negative form
C )graph form
D )standard form
D) standard form
When converting a linear equation into an augmented matrix, the equation is most conveniently expressed in standard form. The standard form of a linear equation is given as:
Ax + By = C
Here, A, B, and C are constants. When you have a system of linear equations, you can represent each equation with a row in the augmented matrix. The coefficients A and B become the elements in the matrix, and the constant C becomes the last column, which is the "augmented" part of the matrix, representing the constant terms on the right side of the equation.
For example, if you have the following system of linear equations:
2x + 3y = 6
4x - 5y = -2
The corresponding augmented matrix would be:
| 2 3 | 6 |
| 4 -5 |-2 |