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.

Answer 1

Slope of the line is =
`(5)/(2)`

y-intercept = 5

Explanation:

Slope (m) is can be calculated using the formula,
`m = (y_2 - y_1)/(x_2 - x_1)`

Use the coordinates of any two points located on the line. Let's use, (14, 40) and (10, 30).

Let,

`(14, 40) = (x_1, y_1)`

`(10, 30) = (x_2, y_2)`

Plug the above values into the formula to find the slope (m).

`m = (30 - 40)/(10 - 14)`

`m = (-10)/(-4) = (5)/(2)`

Slope of the line is =
`(5)/(2)`

Find y-intercept using y = mx + b

Where m = slope, and b = y-intercept

Use (10, 30) as (x, y).

30 = 5/2*10 + b

30 = 25 + b

30 - 25 = b

5 = b

b = 5