Understanding Distance and Slope

The video tutorial covers the concepts of calculating the distance between two points and finding the slope of a line. It begins with an introduction to the Pythagorean theorem and its application in determining the distance between points. The tutorial then progresses to more advanced examples, demonstrating the use of the distance formula. Following this, the slope formula is introduced, and its application is explained with examples. The video concludes with practice problems to reinforce the concepts learned.

What is the Pythagorean Theorem used for in geometry?

• Calculating the area of a circle

• Finding the hypotenuse of a right triangle

• Determining the volume of a cube

• Measuring the circumference of a square

If one side of a right triangle is 4 and the other is 7, what is the length of the hypotenuse?

• 10

• 8

• 9

• Square root of 65

How do you find the distance between two points on a graph?

• By using the Pythagorean Theorem

• By multiplying the coordinates

• By adding the x-coordinates

• By subtracting the y-coordinates

What is the distance between points (3, -4) and (-5, 2)?

• 14

• 12

• 8

• 10

What is the slope of a line that passes through the points (3, 6) and (8, 2)?

• 4/5

• 5/4

• -4/5

• -5/4

How do you calculate the slope between two points?

• Add the x-coordinates and y-coordinates

• Subtract the x-coordinates from the y-coordinates

• Multiply the x-coordinates by the y-coordinates

• Divide the difference of y-coordinates by the difference of x-coordinates

If the slope of a line is negative, what does this indicate about the line?

• The line is increasing

• The line is vertical

• The line is horizontal

• The line is decreasing

What is the slope of a line that passes through the points (4, -2) and (6, 3)?

• -2/5

• 2/5

• -5/2

• 5/2

What is the simplified form of the square root of 68?

• Square root of 34

• 4 times the square root of 17

• 2 times the square root of 17

• Square root of 68

What is the result of dividing a negative number by a positive number?

• A positive number

• Undefined

• Zero

• A negative number