Question

Opal walked from school to home, which

was a distance of 12 miles. She walked
at a rate of 4 miles per hour. The graph
represents the remaining distance Opal
had to walk.
+y
12
10
8
Distance to home (mi)
6
4
2
4
6
Time (h)
a. Find the slope of the line.

Answer 1

Slope = -4

x intercept = 3

Explanation:

See attachment for graph

Required

a. Determine the slope

b. Find the x intercept and explain what it represents

a. The slope

To calculate the slope, we start by selecting any two corresponding values of x and y from the graph.

`(x_1,y_1) = (3,0)`

`(x_2,y_2) = (0,12)`

Next, we calculate the slope (m)

`m = (y_1 - y_2)/(x_1 - x_2)`

`m = (0 - 12)/(3 - 0)`

`m = (- 12)/(3)`

`m = -4`

b. The x intercept

This is the point where
`y = 0.`

From the graph.

`x = 3` when
`y = 0`

This implies that:

After 3 hours, the distance left to cover is 0miles.

In other words, she arrived home in 3 hours