Types of Slopes

Front

What is the definition of a positive slope?

Back

A positive slope indicates that as the x-value increases, the y-value also increases, resulting in an upward trend on a graph.

Front

What is the definition of a negative slope?

Back

A negative slope indicates that as the x-value increases, the y-value decreases, resulting in a downward trend on a graph.

Front

What does a zero slope represent?

Back

A zero slope represents a horizontal line where the y-value remains constant regardless of the x-value.

Front

How can you identify a positive slope from an equation?

Back

In the equation of a line in slope-intercept form (y = mx + b), if the coefficient 'm' is positive, the slope is positive.

Front

How can you identify a negative slope from an equation?

Back

In the equation of a line in slope-intercept form (y = mx + b), if the coefficient 'm' is negative, the slope is negative.

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is zero.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined.

Front

What is the formula for calculating the slope between two points (x1, y1) and (x2, y2)?

Back

The formula for calculating the slope (m) is m = (y2 - y1) / (x2 - x1).

Front

What type of slope does the equation y = -3x + 2 represent?

Back

The equation represents a negative slope.

Front

What type of slope does the equation y = 0.5x - 1 represent?

Back

The equation represents a positive slope.