Finding slope from two points

Front

What is the formula for calculating the slope of a line given 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

What does a slope of 0 indicate about a line?

Back

A slope of 0 indicates that the line is horizontal, meaning there is no vertical change as you move along the line.

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

How do you determine the slope from the points (5,2) and (6,3)?

Back

Using the slope formula: m = (3 - 2) / (6 - 5) = 1.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined because the change in x (denominator) is 0.

Front

If the coordinates of two points are (10,12) and (15,12), what is the slope?

Back

The slope is 0, indicating a horizontal line.

Front

How can you tell if two points create a steep slope?

Back

A steep slope is indicated by a large absolute value of the slope, meaning a significant change in y relative to a small change in x.

Front

What is the slope of the line through the points (0,5) and (7,6)?

Back

The slope is 1/7, calculated as (6 - 5) / (7 - 0).

Front

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

Back

The slope represents the rate of change between two variables, which can be used to analyze trends and make predictions.