Positive, Negative, Zero and Undefiined Slope

Front

What is a positive slope?

Back

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

Front

What is a negative slope?

Back

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

Front

What is a zero slope?

Back

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

Front

What is an undefined slope?

Back

An undefined slope occurs when a line is vertical, meaning the x-value does not change while the y-value does.

Front

What is the equation of a horizontal line?

Back

The equation of a horizontal line can be expressed as y = c, where c is a constant.

Front

What is the equation of a vertical line?

Back

The equation of a vertical line can be expressed as x = c, where c is a constant.

Front

How do you determine the slope from two points?

Back

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

Front

What does a slope of 1 indicate?

Back

A slope of 1 indicates that for every unit increase in x, there is a corresponding unit increase in y.

Front

What does a slope of -1 indicate?

Back

A slope of -1 indicates that for every unit increase in x, there is a corresponding unit decrease in y.

Front

What type of slope does the equation y = 3 represent?

Back

The equation y = 3 represents a horizontal line, which has a zero slope.