Question

imagine you are planning a road trip across the united states. you are interested in visiting the grand canyon and yellowstone national park. you have two initial route options to consider: - route a travels from los angeles, california to the grand canyon. - route b travels from san francisco, california to yellowstone. the coordinates of the cities are approximately as follows: - los angeles (34.05, - 118.25) - grand canyon (36.10, - 112.11) - san francisco (37.77, - 122.42) - yellowstone (44.43, - 110.58) 10. calculate the slope of route b as it travels from san francisco to yellowstone. round to the nearest whole number. type a response show your work

Explanation:

Step1: Recall slope formula

The slope formula between two points $(x_1,y_1)$ and $(x_2,y_2)$ is $m=\frac{y_2 - y_1}{x_2 - x_1}$. San - Francisco has coordinates $(x_1,y_1)=(37.77,- 122.42)$ and Yellowstone has coordinates $(x_2,y_2)=(44.43,-110.58)$.

Step2: Substitute values into formula

$m=\frac{-110.58-(-122.42)}{44.43 - 37.77}=\frac{-110.58 + 122.42}{44.43-37.77}=\frac{11.84}{6.66}$.

Step3: Calculate and round

$\frac{11.84}{6.66}\approx1.78$. Rounding to the nearest whole number gives $2$.

Answer:

$2$