Interpreting Graphs of Linear Functions in Context

Front

What is the meaning of the y-intercept?

Back

The y-intercept is the value of y when x is 0, representing the starting point of a linear function.

Front

What is the BEST title for a graph showing the relationship between time spent studying and test grades?

Back

The effect of Time Spent Studying and Test Grades.

Front

What is the rate of change in a linear function?

Back

The rate of change is the slope of the line, indicating how much y changes for a unit change in x.

Front

What does it mean when x = 5 in a context of a graph?

Back

It indicates the value of the independent variable at that point, which can represent time, quantity, etc.

Front

What does the slope represent in a linear function?

Back

The slope represents the rate of change of y with respect to x, indicating how steep the line is.

Front

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

Back

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

Front

What does a positive slope indicate about a linear function?

Back

A positive slope indicates that as x increases, y also increases.

Front

What does a negative slope indicate about a linear function?

Back

A negative slope indicates that as x increases, y decreases.

Front

What is the formula for a linear function in slope-intercept form?

Back

y = mx + b, where m is the slope and b is the y-intercept.

Front

What does the term 'rate of change' refer to in a graph?

Back

It refers to how much one quantity changes in relation to another quantity.