Unit 6 - 2 FC Slope: Given Two points

Front

What is the formula to calculate the slope (m) between two points (x1, y1) and (x2, y2)?

Back

The formula for slope is m = (y2 - y1) / (x2 - x1).

Front

What does it mean if the slope of a line is undefined?

Back

An undefined slope indicates a vertical line, where the x-coordinates of the two points are the same.

Front

How do you determine the slope of a line given two points?

Back

To determine the slope, use the formula m = (y2 - y1) / (x2 - x1) with the coordinates of the two points.

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0.

Front

If the slope of a line is positive, what does that indicate about the line's direction?

Back

A positive slope indicates that the line rises from left to right.

Front

If the slope of a line is negative, what does that indicate about the line's direction?

Back

A negative slope indicates that the line falls from left to right.

Front

What is the slope of a line that passes through the points (2, 3) and (2, 5)?

Back

The slope is undefined because the x-coordinates are the same.

Front

How can you identify the slope from a graph of a line?

Back

The slope can be identified by selecting two points on the line and calculating the rise over run.

Front

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

Back

The slope represents the rate of change, such as speed, cost per item, or growth rate.

Front

What is the slope of the line that passes through the points (1, 2) and (4, 5)?

Back

The slope is 1, calculated as (5 - 2) / (4 - 1).