Slope Basics

Front

What is the definition of slope in a linear function?

Back

Slope is a measure of the steepness of a line, calculated as the change in y divided by the change in x (rise over run).

Front

What does a positive slope indicate about a line?

Back

A positive slope indicates that as x increases, y also increases, meaning the line rises from left to right.

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that as x increases, y decreases, meaning the line falls from left to right.

Front

What does a slope of zero mean?

Back

A slope of zero means the line is horizontal, indicating that there is no change in y as x changes.

Front

What does an undefined slope mean?

Back

An undefined slope occurs in a vertical line where x does not change, leading to a division by zero in the slope formula.

Front

How do you find the y-intercept of a linear equation?

Back

The y-intercept is the value of y when x is zero, found by substituting x=0 into the equation.

Front

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

Back

Front

Back

Front

Back

The y-intercept is 5.

Front

How can you determine if a slope is positive, negative, zero, or undefined from a graph?

Back

A positive slope rises from left to right, a negative slope falls from left to right, a zero slope is horizontal, and an undefined slope is vertical.