Ohio Assessments for Educators (OAE) Mathematics Practice Exam

In which format is the slope represented as -A/B?

1. Point Slope Form

2. Intercept Form

3. Standard Form

4. Slope Intercept Form

The correct answer is: Standard Form

The slope represented as -A/B is associated with the Standard Form of a linear equation. The Standard Form is generally expressed as Ax + By = C, where A, B, and C are integers, and A and B are not both zero. When this equation is rearranged to isolate the slope, we can express it in slope-intercept form (y = mx + b) or calculate the slope directly. The slope (m) can be derived from the Standard Form by solving for y, yielding m = -A/B. This clearly illustrates that the Standard Form directly relates to the slope in this manner. The other forms mentioned have different representations and purposes. For example, the Point Slope Form uses a point and a specific slope and does not inherently reflect the -A/B relationship. The Intercept Form highlights x- and y-intercepts rather than focusing on slope calculations. Slope Intercept Form directly expresses the slope but not in the -A/B format. Hence, the representation of the slope as -A/B specifically aligns with the Standard Form of a linear equation.