Mathematics: 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.

The length is 6 and the width is 1...

Opal walked from school to home, which was a distance

graciemonceret6213

13.02.2022

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

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