Select the correct answer. Consider the formula for the slope between two coordinate points, \( m \), shown below. \( m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}} \) Which of the following equations is equivalent to the slope formula? A. \( x_{2}=m\left(y_{2}-y_{1}\right)+x_{1} \) B. \( y_{1}=m\left(x_{2}-x_{1}\right)+y_{2} \) C. \( y_{2}=m\left(x_{2}-x_{1}\right)+y_{1} \) D. \( x_{1}=m\left(y_{2}-y_{1}\right)+x_{2} \)

To provide additional relevant knowledge: The slope formula has been a fundamental concept in mathematics for centuries, dating back to the origins of coordinate geometry. The slope indicates the steepness or incline of a line and was formalized by mathematicians such as René Descartes and later expanded upon by Albert Einstein in the context of relativity. This makes understanding the slope not just an algebraic exercise, but a window into the evolution of mathematical thought! In real-world scenarios, the concept of slope is everywhere! From construction to coding, understanding how steep a roof needs to be or how quickly a car should accelerate are all practical applications of the slope formula. Engineers often use the slope to calculate angles of ramps, while data scientists analyze trends in data to predict future outcomes. Knowing how to manipulate the slope formula can be incredibly useful in various fields!