Types of Slopes

Front

What is a positive slope?

Back

A positive slope indicates that as the x-value increases, the y-value also increases. It is represented by a line that 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. It is represented by a line that falls from left to right.

Front

What is a zero slope?

Back

A zero slope indicates that there is no change in the y-value as the x-value changes. It is represented by a horizontal line.

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. It cannot be expressed as a fraction.

Front

How do you determine the slope of a line from two points?

Back

The slope (m) can be calculated using the formula: m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are the coordinates of the two points.

Front

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

Back

Positive slope, since the coefficient of x (2) is positive.

Front

What type of slope does the equation y = -3x + 1 represent?

Back

Negative slope, since the coefficient of x (-3) is negative.

Front

What type of slope does the equation y = 0 represent?

Back

Zero slope, as it is a horizontal line.

Front

What type of slope does the equation x = 4 represent?

Back

Undefined slope, as it is a vertical line.

Front

If a line rises from left to right, what type of slope does it have?

Back

Positive slope.