Finding Intersection Points and Slopes

Nate and Kate discuss footprints they saw at various locations and decide to plot them on a graph to analyze the evidence. They calculate the slopes of the lines representing the footprints and find where these lines intersect by solving equations. The video concludes with insights on the footprints and the graph, demonstrating a practical approach to understanding slopes and intersections.

Where did Kate first notice the footprints?

• At the park

• At the bank

• At the library

• At the hospital

What is the purpose of plotting the footprints on a graph?

• To determine the color of the footprints

• To count the number of footprints

• To measure the distance between locations

• To find where the paths intersect

How is the slope of a line determined?

• By counting the number of footprints

• By finding the midpoint of the line

• By measuring the distance between two points

• By calculating the rise over run

What is the slope of the line from the courthouse to the library?

• 0

• 1

• -1

• 2

What is the y-intercept of the line from the courthouse to the library?

• 6

• 5

• 3

• 4

What is the simplified slope of the line from the bank to the hospital?

• 1/2

• 1/3

• 2/3

• 3/4

What is the y-intercept of the line from the bank to the hospital?

• 3

• 2

• 1/2

• 1

How do you find the intersection point of two lines?

• By multiplying their slopes

• By subtracting their y-intercepts

• By setting their equations equal

• By adding their slopes

What is the x-coordinate of the intersection point?

• 4

• 3

• 2

• 1

What is the y-coordinate of the intersection point?

• 1

• 4

• 2

• 3