Finding Slope with 2 Points

Front

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

Back

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

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 change in the y-value as the x-value changes.

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 if the slope is positive, negative, or zero from a graph?

Back

If the line rises from left to right, the slope is positive. If it falls from left to right, the slope is negative. If it is horizontal, the slope is zero.

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 zero.

Front

Given the points (2, 3) and (5, 7), what is the slope?

Back

The slope is (7 - 3) / (5 - 2) = 4 / 3.

Front

If the slope between two points is 1, what does this imply about the angle of the line?

Back

A slope of 1 implies that the line makes a 45-degree angle with the x-axis.

Front

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

Back

The slope represents the rate of change, which can be used in various contexts such as speed, cost, and growth rates.

Front

How can you find the slope from a set of data points in a table?

Back

To find the slope from a table, select two points (x1, y1) and (x2, y2) and apply the slope formula: m = (y2 - y1) / (x2 - x1).