Finding the slope between two points why does the slope formula work

The video tutorial introduces the concept of slope, explaining how to plot points on a graph and connect them. It defines slope as the change in Y values over the change in X values, often referred to as rise over run. The tutorial demonstrates how to calculate slope using both a graph and the slope formula, emphasizing the importance of consistency in calculations. The video also covers how to handle situations where a graph is not available, using subtraction to find differences in coordinates.

What is the first step in plotting a point on a graph?

• Draw the axes

• Identify the X coordinate

• Identify the Y coordinate

• Connect the points

How is slope generally defined?

• The product of X and Y values

• The change in Y values over the change in X values

• The difference between X values

• The sum of X and Y values

What does the term 'rise over run' refer to?

• The difference in X values

• The sum of all changes

• The horizontal change over vertical change

• The vertical change over horizontal change

If you move left on a graph, how does it affect the slope calculation?

• It doubles

• It becomes negative

• It becomes positive

• It remains unchanged

What is the slope if the change in Y is -4 and the change in X is 8?

• -1/2

• 1/2

• -2

• 2

How do you find the difference between two Y values?

• Divide them

• Subtract them

• Multiply them

• Add them

What is the formula for calculating slope using coordinates?

• Y2 - Y1 over X2 - X1

• X2 - X1 over Y2 - Y1

• X1 + X2 over Y1 + Y2

• Y1 + Y2 over X1 + X2