Linear Functions, Proportionality, and Determining Functions

Front

What is the y-intercept?

Back

The y-intercept is the value of y when x=0 in a linear function. It is represented by the variable 'b' in the equation y = mx + b.

Front

What does it mean for a graph to be proportional?

Back

A graph is proportional if it passes through the origin (0,0) and has a constant ratio between the x and y values.

Front

What is a function?

Back

A function is a relation where each input (x-value) has exactly one output (y-value).

Front

What indicates that a table does not represent a function?

Back

A table does not represent a function if there are repeated x-values with different y-values.

Front

How do you find the slope of a line?

Back

The slope (m) is found by the formula m = (y2 - y1) / (x2 - x1), which represents the change in y over the change in x.

Front

What is the slope of a line that goes down from left to right?

Back

The slope of a line that goes down from left to right is negative.

Front

What is the slope of a line that goes up from left to right?

Back

The slope of a line that goes up from left to right is positive.

Front

What does a slope of 0 indicate?

Back

A slope of 0 indicates a horizontal line, meaning there is no change in y as x changes.

Front

What does an undefined slope indicate?

Back

An undefined slope indicates a vertical line, meaning x does not change as y changes.

Front

What is the equation of a linear function?

Back

The equation of a linear function is typically written in the form y = mx + b, where m is the slope and b is the y-intercept.