Question

ma.8.ar.3.2 question 1 of 11 (1 point) | question attempt: 1 of unlimited distance (miles) time (hours) (a) what is the slope of the line?

Explanation:

Step1: Recall slope formula

The slope $m$ of a line is given by $m=\frac{\Delta y}{\Delta x}=\frac{y_2 - y_1}{x_2 - x_1}$. For a distance - time graph, the slope represents the speed. We can choose two points on the line. Let's assume the line passes through the origin $(0,0)$ and another point, say $(4,200)$.

Step2: Calculate the slope

Using the formula $m=\frac{y_2 - y_1}{x_2 - x_1}$, with $(x_1,y_1)=(0,0)$ and $(x_2,y_2)=(4,200)$, we have $m=\frac{200 - 0}{4 - 0}=\frac{200}{4}=50$.

Answer:

50