Midterm Review 6

Front

What does the slope of a line represent in a graph?

Back

The slope of a line represents the rate of change of the dependent variable with respect to the independent variable.

Front

How do you calculate the slope between two points (x1, y1) and (x2, y2)?

Back

Slope (m) = (y2 - y1) / (x2 - x1)

Front

What is the meaning of a positive slope in a graph?

Back

A positive slope indicates that as the independent variable increases, the dependent variable also increases.

Front

What does a negative slope indicate in a graph?

Back

A negative slope indicates that as the independent variable increases, the dependent variable decreases.

Front

What is the significance of the y-intercept in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, representing the value of the dependent variable when the independent variable is zero.

Front

If a person is jogging, how would their speed be represented on a graph?

Back

Jogging would be represented by a line with a positive slope, indicating a steady increase in distance over time.

Front

What does it mean if a graph is flat (horizontal)?

Back

A flat graph indicates that there is no change in the dependent variable as the independent variable changes; the slope is zero.

Front

How can you determine if a person is accelerating from a graph?

Back

Acceleration is indicated by a curve in the graph; if the slope is increasing, the person is accelerating.

Front

What does it mean if a graph shows a steep slope?

Back

A steep slope indicates a rapid change in the dependent variable with respect to the independent variable.

Front

What is the formula for calculating earnings based on hours worked?

Back

Earnings = Rate of pay x Hours worked.