Question

because different cities are located in different climates, the relationship between hours of sunlight and average temperature may vary. the following graph shows the relationship between average temperature and hours of sunlight in two cities located in two very different climates. the slope of the orange line between points a and b is, and the slope of the blue line between points c and d is

Explanation:

Step1: Recall slope formula

The slope formula is $m=\frac{y_2 - y_1}{x_2 - x_1}$, where $(x_1,y_1)$ and $(x_2,y_2)$ are two points on the line.

Step2: Identify points for orange - line

For the orange line with points A and B, assume A$(x_1,y_1)=(8,50)$ and B$(x_2,y_2)=(12,90)$. Then $m_{AB}=\frac{90 - 50}{12 - 8}=\frac{40}{4}=10$.

Step3: Identify points for blue - line

For the blue line with points C and D, assume C$(x_1,y_1)=(8,30)$ and D$(x_2,y_2)=(12,60)$. Then $m_{CD}=\frac{60 - 30}{12 - 8}=\frac{30}{4}=7.5$.

Answer:

The slope of the orange line between points A and B is 10, and the slope of the blue line between points C and D is 7.5.