Linear Functions

Front

What is a linear function?

Back

Front

What does the slope of a line represent?

Back

The slope of a line represents the rate of change of the dependent variable (y) with respect to the independent variable (x). It indicates how steep the line is.

Front

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

Back

Front

What is the slope-intercept form of a linear equation?

Back

Front

What is the y-intercept of a linear function?

Back

Front

What does an undefined slope indicate?

Back

An undefined slope indicates a vertical line, where the change in x is zero, leading to division by zero in the slope formula.

Front

What does a slope of zero indicate?

Back

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

Front

How do you convert a linear equation from standard form to slope-intercept form?

Back

Front

What is the significance of the slope in real-world applications?

Back

The slope can represent various rates of change in real-world contexts, such as speed, cost per item, or growth rates.

Front

How do you determine the equation of a line given its slope and a point?

Back