Finding Slope with the Slope Formula

The video tutorial covers a problem involving calculating the speed of a train in feet per second. It begins with an introduction to the problem, where a train travels half a mile in a given time frame. The tutorial explains how to convert miles to feet and analyze the initial and final positions and times. It then demonstrates how to calculate the slope using the formula Y2-Y1 over X2-X1 to find the speed. The session concludes with a summary and practice problems to reinforce the concepts learned.

What is the initial time given for the train's journey?

• 10 seconds

• 55 seconds

• 0 seconds

• 1 minute

How far did the train travel in miles?

• 3/4 mile

• 1 mile

• 1/4 mile

• 1/2 mile

How many feet are there in a mile?

• 5,280 feet

• 2,640 feet

• 1,320 feet

• 10,560 feet

What is the distance in feet for half a mile?

• 3,960 feet

• 5,280 feet

• 2,640 feet

• 1,320 feet

What is the initial position of the train in feet?

• 5,280 feet

• 2,640 feet

• 1,320 feet

• 0 feet

What is the final position of the train in feet?

• 2,640 feet

• 1,320 feet

• 5,280 feet

• 0 feet

Which formula is used to calculate the slope?

• Y2 - Y1 / X2 - X1

• X2 - X1 / Y2 - Y1

• X1 - X2 / Y1 - Y2

• Y1 - Y2 / X1 - X2

What is the difference in time between the initial and final positions?

• 40 seconds

• 35 seconds

• 45 seconds

• 50 seconds

What is the speed of the train in feet per second?

• 60.67 feet per second

• 61.67 feet per second

• 58.67 feet per second

• 59.67 feet per second

What is the key concept used to solve these types of problems?

• Pythagorean theorem

• Quadratic formula

• Slope formula

• Distance formula