Understanding Slope and Y-Intercept

What does the slope of a graph represent in terms of dependent and independent variables?

• The maximum value of the dependent variable

• The change in the dependent variable per unit change in the independent variable

• The initial value of the independent variable

• The total value of the dependent variable

If a graph has a slope of 2 meters per second, what does this indicate about the object's movement?

• The object moves 2 meters every day

• The object moves 2 meters every hour

• The object moves 2 meters every second

• The object moves 2 meters every minute

How can the unit of slope help in understanding its meaning?

• It shows the total change in the independent variable

• It determines the maximum value of the dependent variable

• It provides insight into the rate of change of the dependent variable per unit of the independent variable

• It indicates the initial value of the dependent variable

What does the y-intercept of a graph tell us about the dependent variable?

• The rate of change of the dependent variable

• The average value of the dependent variable

• The maximum value of the dependent variable

• The value of the dependent variable when the independent variable is zero

In a temperature-time graph, if the y-intercept is 20 degrees Celsius, what does this indicate?

• The temperature increases by 20 degrees every hour

• The initial temperature was 20 degrees Celsius

• The temperature remains constant at 20 degrees Celsius

• The temperature decreases by 20 degrees every hour