Question

how is the slope of the yellow segment calculated? by using the distance formula by using the slope formula with two points by using the quadratic formula by using the derivative

Explanation:

To calculate the slope of a line segment (like the yellow one), we use the slope formula which requires two points \((x_1,y_1)\) and \((x_2,y_2)\) on the segment. The slope formula is \(m=\frac{y_2 - y_1}{x_2 - x_1}\). The distance formula is for finding the length between two points, the quadratic formula is for solving quadratic equations, and the derivative is for finding the slope of a tangent to a curve (not a straight - line segment in the basic sense here). So the correct way to calculate the slope of the yellow segment is by using the slope formula with two points.

Answer:

B. By using the slope formula with two points