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.

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.

Next, we calculate the slope (m)

b. The x intercept

This is the point where

From the graph.

 when

This implies that:

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

In other words, she arrived home in 3 hours

ad = ae + ed = y + 7

similar triangles therefor

ac/ab = ad/ae

6/4 = (y + 7) / y

cross multiply

6y = 4(y + 7)

6y = 4y + 28

2y = 28

y = 14

step-by-step explanation:

the correct answer is the second option