P7 Slope of a Line

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, usually represented as 'm'. It is calculated as the change in the y-coordinate divided by the change in the x-coordinate (rise/run).

Front

What does a positive slope indicate?

Back

A positive slope indicates that as the x-value increases, the y-value also increases, resulting in an upward trend from left to right.

Front

What does a negative slope indicate?

Back

A negative slope indicates that as the x-value increases, the y-value decreases, resulting in a downward trend from left to right.

Front

What is a zero slope?

Back

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

Front

What is an undefined slope?

Back

An undefined slope occurs in a vertical line where the x-value remains constant, leading to a division by zero in the slope formula.

Front

How do you calculate the slope between two points (x1, y1) and (x2, y2)?

Back

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

Front

What is the slope of the line represented by the equation y = 3x + 2?

Back

The slope of the line is 3, which means for every unit increase in x, y increases by 3 units.

Front

What is the slope of the line represented by the equation y = -2x + 5?

Back

The slope of the line is -2, indicating a decrease of 2 units in y for every unit increase in x.

Front

If a line has a slope of 0, what can be said about its equation?

Back

The equation of a line with a slope of 0 is of the form y = b, where b is a constant.

Front

What is the significance of the slope in real-world applications?

Back

The slope can represent rates of change, such as speed, cost per item, or growth rates in various contexts.