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

Answer:

Slope = -4

x intercept = 3

Step-by-step 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)

$m = \frac{y_1 - y_2}{x_1 - x_2}$

$m = \frac{0 - 12}{3 - 0}$

$m = \frac{- 12}{3}$

$m = -4$

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