Practice #2 Interpreting Linear Equations

Front

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

Back

The y-intercept represents the value of y when x is zero, indicating the starting point of the relationship.

Front

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

Back

The slope of the line, which indicates the rate of change of y with respect to x.

Front

What is the significance of the slope in a real-world context?

Back

The slope represents the rate at which one quantity changes in relation to another, such as cost per unit or speed.

Front

How can you interpret the y-intercept in a practical scenario?

Back

The y-intercept can indicate the initial value of a quantity before any changes occur, such as starting inventory or initial funds.

Front

What does a negative slope indicate about the relationship between x and y?

Back

A negative slope indicates that as x increases, y decreases, showing an inverse relationship.

Front

How do you find the slope between two points on a graph?

Back

The slope is calculated by taking the difference in y-values divided by the difference in x-values (rise over run).

Front

What does it mean if the y-intercept is zero?

Back

If the y-intercept is zero, it means that the line passes through the origin, indicating no initial value.

Front

In the context of a linear equation, what does 'b' represent?

Back

The y-intercept of the line, which is the value of y when x is zero.

Front

How can you determine the cost per minute from a linear equation representing rental fees?

Back

The slope of the equation indicates the cost per minute, showing how much the total cost increases for each additional minute.

Front

What is the relationship between the slope and the steepness of a line?

Back

A steeper line has a larger absolute value of slope, indicating a greater rate of change.