Linear Functions

Front

What is a linear function?

Back

Front

What does the slope of a linear function represent?

Back

The slope of a linear function represents the rate of change of the function. It indicates how much the output value (y) changes for a unit change in the input value (x).

Front

How do you find the slope from two points?

Back

Front

What is the y-intercept of a linear function?

Back

Front

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

Back

Front

How do you convert the slope-intercept form to standard form?

Back

Front

Back

The slope of the line is -4.

Front

How do you determine if a linear function is increasing or decreasing?

Back

A linear function is increasing if the slope (m) is positive and decreasing if the slope (m) is negative.

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0, indicating that there is no change in the y-value as the x-value changes.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined, as it would require division by zero when calculating the slope.