Slope and Change in Coordinates

The video tutorial teaches how to find the slope of a line using two points. It explains the formula for slope as the change in Y divided by the change in X, and provides multiple examples to illustrate the calculation process. The tutorial emphasizes the importance of leaving the slope in fraction form for clarity. Students are encouraged to practice calculating slope independently.

What is the first step in finding the slope of a line given two points?

• Divide the x-coordinates

• Multiply the coordinates

• Subtract the y-coordinates

• Add the x-coordinates

Which formula represents the slope of a line?

• x1 + x2 / y1 + y2

• y2 - y1 / x2 - x1

• y1 - y2 / x1 - x2

• x2 - x1 / y2 - y1

In the first example, what is the change in Y for points (5, -3) and (15, 27)?

• 30

• 24

• 10

• 15

What is the slope of the line through points (5, -3) and (15, 27)?

• 4

• 1

• 2

• 3

What is the change in X for points (5, -3) and (15, 27)?

• 15

• 20

• 10

• 5

What is the change in Y for points (5, -3) and (15, 27)?

• 30

• 20

• 10

• 40

In the second example, what is the change in X for points (115, 47) and (25, 32)?

• 90

• 80

• -80

• -90

What is the simplified slope of the line through points (115, 47) and (25, 32)?

• 1/3

• 1/5

• 1/6

• 1/4

In the second example, what is the change in Y for points (115, 47) and (25, 32)?

• 10

• -10

• 15

• -15

What is the change in Y for points (115, 47) and (25, 32)?

• 15

• 10

• -10

• -15