Finding Slope with 2 Points Practice

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 using coordinates?

Back

Calculate the slope using the formula m = (y2 - y1) / (x2 - x1). If m > 0, the slope is positive; if m < 0, the slope is negative; if m = 0, 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 points (x1, y1) and (x2, y2), what is the first step in finding the slope?

Back

Identify the coordinates of the two points: (x1, y1) and (x2, y2).

Front

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

Back

Using the formula m = (y2 - y1) / (x2 - x1), the slope is m = (7 - 3) / (5 - 2) = 4 / 3.

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, make predictions, and understand relationships.

Front

How can you tell if two points lie on a horizontal line?

Back

If the y-coordinates of both points are the same, the line is horizontal, and the slope is 0.