Question

type the correct answer in each box. if necessary, use / for the fraction bar(s). john recorded the number of cars passing a traffic signal at intervals of 2 minutes. he plotted his data on this graph and sketched a line of best fit. cars passing traffic signal 35 30 25 20 15 10 5 0 2 4 6 8 10 12 14 time (minutes) the slope of the line is, and the y - intercept is.

Explanation:

Step1: Recall slope formula

The slope formula is $m=\frac{y_2 - y_1}{x_2 - x_1}$. We can choose two points on the line of best - fit. Let's take $(2,5)$ and $(14,35)$.
$m=\frac{35 - 5}{14 - 2}$

Step2: Calculate the slope

$m=\frac{30}{12}=\frac{5}{2}=2.5$

Step3: Recall y - intercept concept

The y - intercept is the value of y when x = 0. Looking at the graph, when x = 0, y = 0.

Answer:

Slope: $2.5$, y - intercept: $0$