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 vertical line is drawn, meaning the x-value does not change while the y-value does.

Front

How do you determine the slope of a line?

Back

The slope (m) is calculated using the formula m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are two points on the line.

Front

What type of slope does the line represented by the equation y = 2x + 3 have?

Back

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

Front

What type of slope does the line represented by the equation y = -3x + 1 have?

Back

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

Front

What type of slope does the line represented by the equation y = 0 have?

Back

Zero slope, as it is a horizontal line.

Front

What type of slope does the line represented by the equation x = 4 have?

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.