Algebra Practice Test 2025 – Complete Exam Preparation

The process to convert from slope-intercept form, which is expressed as \( y = mx + b \), to standard form involves rearranging the equation into the format \( Ax + By = C \), where \( A \), \( B \), and \( C \) are integers.

To accomplish this, you start with the slope-intercept equation. First, you would subtract \( mx \) from both sides to isolate terms involving \( y \) on one side. This gives you \( -mx + y = b \). Next, you can multiply through by -1 (if necessary) to rearrange the equation into the format where the \( x \) and \( y \) terms are on the left side, and the constant is on the right side. The result should look like \( mx - y = -b \), which is suitable for standard form after ensuring A, B, and C are integers.

This method preserves the equality while rearranging the terms to fit the standard form structure.

Understanding this process not only helps in recognizing how different forms of equations relate to one another but also strengthens your ability to manipulate equations in algebra.