Understanding Slope and Its Calculations

The video tutorial by Teacher Go covers the concept of slope, explaining its definition as the change in Y over the change in X on a Cartesian plane. It introduces the slope formula, 'rise over run,' and discusses different types of slopes: positive, negative, zero, and undefined. The tutorial demonstrates how to calculate slope from graphs, equations, and coordinates, providing examples for each method. The video concludes with a summary of the key points discussed.

What is the slope of a line defined as?

• The sum of X and Y values

• The change in X over the change in Y

• The difference between X and Y values

• The change in Y over the change in X

In the slope formula, what does the letter 'm' represent?

• The minimum value of X

• The maximum value of Y

• The slope of a line

• The midpoint of a line

What is required to calculate the slope of a line?

• The angle of the line

• Two points on the line

• The length of the line

• Three points on the line

Which type of slope is characterized by a line rising from left to right?

• Undefined slope

• Negative slope

• Positive slope

• Zero slope

What is the slope of a line parallel to the x-axis?

• Undefined slope

• Zero slope

• Negative slope

• Positive slope

How is the slope of a line determined from a graph?

• By calculating the area under the line

• By measuring the length of the line

• By counting the units of rise and run

• By finding the midpoint of the line

In the equation y = mx + b, what does 'b' represent?

• The x-intercept of the line

• The midpoint of the line

• The slope of the line

• The y-intercept of the line

What is the first step in converting an equation to slope-intercept form?

• Add the x-term to both sides

• Subtract the x-term from both sides

• Multiply both sides by the y-term

• Divide both sides by the x-term

How do you calculate the slope using two coordinates?

• By using the formula (y2 - y1) / (x2 - x1)

• By multiplying the x-values and y-values

• By subtracting the x-values from the y-values

• By adding the x-values and y-values