Question

the graph shows the number of possible passengers for a given number of roller - coaster cars that leave the platform. complete parts a and b.
a. use two sets of coordinates to write an equation to describe the relationship.
y=\frac{24 - square}{square - 2}=\frac{square}{2}

Explanation:

Step1: Find the slope

We use the formula \(m=\frac{y_2 - y_1}{x_2 - x_1}\). Let \((x_1,y_1)=(0,0)\) and \((x_2,y_2)=(20,24)\). Then \(m=\frac{24 - 0}{20 - 0}=\frac{24}{20}=\frac{6}{5}\).

Step2: Write the equation

The equation of a line in slope - intercept form is \(y = mx + b\). Since the line passes through the origin \((0,0)\), \(b = 0\). So the equation is \(y=\frac{6}{5}x\).

Answer:

\(y=\frac{6}{5}x\)