7.4A & 7.7A Constant Rate of Change & Linear Relationships

Front

What is a linear relationship?

Back

Front

What does the slope of a line represent in a linear relationship?

Back

The slope of a line represents the rate of change between the two variables. It indicates how much the dependent variable (y) changes for a unit change in the independent variable (x).

Front

What is the formula for calculating the slope between two points (x1, y1) and (x2, y2)?

Back

Front

What is a constant rate of change?

Back

A constant rate of change means that the change in the dependent variable is consistent for equal changes in the independent variable. This is characteristic of linear relationships.

Front

How can you identify a linear function from a graph?

Back

Front

What does the y-intercept represent in a linear equation?

Back

Front

What is the difference between positive and negative slopes?

Back

Front

What is the significance of the rate of change in real-life situations?

Back

The rate of change helps to understand how one quantity changes in relation to another, which is crucial in fields like economics, physics, and everyday decision-making.

Front

How do you determine the rate of change from a table of values?

Back

To determine the rate of change from a table, calculate the difference in the y-values divided by the difference in the x-values for two points.

Front

What is the equation of a line with a slope of 2 and a y-intercept of 3?

Back