slope formula

Front

What is the formula for calculating the slope between two points?

Back

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

Front

How do you identify the coordinates of two points from a graph?

Back

The coordinates of a point on a graph are identified as (x, y), where x is the horizontal position and y is the vertical position.

Front

What does a positive slope indicate about the relationship between two variables?

Back

A positive slope indicates that as one variable increases, the other variable also increases.

Front

What does a negative slope indicate about the relationship between two variables?

Back

A negative slope indicates that as one variable increases, the other variable decreases.

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0, indicating no change in the y-value as the x-value changes.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined, as the x-value does not change while the y-value changes.

Front

Given the points (3, 2) and (7, 6), what is the slope?

Back

The slope is (6 - 2) / (7 - 3) = 4 / 4 = 1.

Front

If the slope between two points is 0, what can be said about the y-coordinates of those points?

Back

If the slope is 0, the y-coordinates of the two points are equal, indicating a horizontal line.

Front

How can you determine if a slope is steep or gentle?

Back

A steeper slope has a larger absolute value, while a gentler slope has a smaller absolute value.

Front

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

Back

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