Understanding Slope from a Graph

The video tutorial explains how to determine the slope of a line from a graph. It covers the concept of slope as the rate of change between the dependent and independent variables, and distinguishes between positive and negative slopes. The tutorial introduces formulas for calculating slope and demonstrates two methods: graphically using two points and using the slope formula. Examples are provided to illustrate both methods, emphasizing the importance of simplifying the slope fraction.

What does the slope of a line represent in terms of variables?

• The rate of change between the dependent and independent variables

• The sum of the dependent and independent variables

• The product of the dependent and independent variables

• The difference between the dependent and independent variables

How is a positive slope visually represented on a graph?

• The line goes downhill from left to right

• The line is horizontal

• The line is vertical

• The line goes uphill from left to right

Which formula can be used to express the slope of a line?

• Difference between Y and X

• Change in Y divided by change in X

• Product of Y and X

• Sum of Y and X

What is the first step in determining the slope graphically?

• Calculate the area under the line

• Draw a tangent to the line

• Identify two convenient points on the line

• Find the midpoint of the line

If the vertical change is 14 and the horizontal change is 20, what is the slope?

• 10/7

• 20/14

• 7/10

• 14/20

What is the purpose of simplifying the slope fraction?

• To make calculations easier

• To change the slope value

• To find the midpoint

• To make it more complex

How do you calculate the slope using the slope formula?

• Add Y values and divide by X values

• Subtract Y values and divide by X values

• Subtract X values and divide by Y values

• Add X values and divide by Y values

What does the slope formula help determine?

• The length of the line

• The area under the line

• The rate of change between two points

• The midpoint of the line

What is the result of using the slope formula with coordinates (0, -4) and (20, 10)?

• Slope of 10/20

• Slope of 14/20

• Slope of 7/10

• Slope of 20/14

How can you find another point on the line using the slope?

• Go up 10 units and right 7 units

• Go up 7 units and right 10 units

• Go down 10 units and left 7 units

• Go down 7 units and left 10 units