Question

the graph shows a toy cars position as a function of time. determine the slope of the line and indicate the units on the slope. position (cm) time (s) slope: units:

Explanation:

Step1: Select two points

Let's take two points on the line: (0, 50) and (5, 250).

Step2: Apply slope formula

The slope formula is $m=\frac{y_2 - y_1}{x_2 - x_1}$. Here, $x_1 = 0,y_1=50,x_2 = 5,y_2 = 250$. So $m=\frac{250 - 50}{5-0}=\frac{200}{5}$.

Step3: Calculate slope value

$\frac{200}{5}=40$.

Answer:

Slope: 40
Units: cm/s