SAT Math - Easy Level Fundamentals

Front

Slope of a Line

Back

The ratio of vertical change (rise) to horizontal change (run) between any two points on a line. It represents the rate of change. **Formula:** $$m = \frac{y_2 - y_1}{x_2 - x_1}$$ **Real-World Example:** If slope $m = 50$ for a trip, it means you are traveling 50 miles per hour.

Front

Y-Intercept

Back

The point where the graph of a function or equation intersects the y-axis. In the equation $y = mx + b$, it is represented by the constant $b$. **Significance:** It represents the initial value or starting quantity in a real-world context before any changes occur.

Front

Slope-Intercept Form

Back

A standard way to write the equation of a line so that the slope and y-intercept are immediately visible. **Equation:** $$y = mx + b$$ Where $m$ is the slope and $b$ is the y-intercept.

Front

System of Linear Equations

Back

A set of two or more linear equations with the same variables. The solution is the point $(x, y)$ where the lines intersect, meaning it satisfies all equations simultaneously.

Front

Linear Inequality

Back

A statement that compares two linear expressions using relation symbols like <, >, ≤, or ≥ instead of an equals sign. When multiplying or dividing both sides by a negative number, flip the inequality symbol.