Station 2: Linear Key Features

Front

What is a y-intercept?

Back

The y-intercept is the point where a line crosses the y-axis. It occurs when the value of x is zero.

Front

How do you identify the y-intercept from a table of values?

Back

Look for the value of y when x is equal to zero.

Front

What does a zero slope indicate about a line?

Back

A zero slope indicates that the line is horizontal, meaning there is no change in y as x changes.

Front

What does an undefined slope indicate about a line?

Back

An undefined slope indicates that the line is vertical, meaning it does not have a defined slope because the change in x is zero.

Front

How do you calculate the slope of a line given two points (x1, y1) and (x2, y2)?

Back

The slope (m) is calculated using the formula: m = (y2 - y1) / (x2 - x1).

Front

Back

Front

Back

The slope of the line is 12.

Front

What is the rate of change in a linear function?

Back

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

Front

How can you determine the slope from a graph?

Back

The slope can be determined by selecting two points on the line and using the formula: slope = (change in y) / (change in x).

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that as x increases, y decreases, resulting in a downward slant from left to right.