SLOPE

Front

What is the formula to calculate the slope of a line given two points (x1, y1) and (x2, y2)?

Back

The slope (m) is calculated using the formula: m = (y2 - y1) / (x2 - x1).

Front

What does the term 'rise' refer to in the context of slope?

Back

'Rise' refers to the vertical change between two points on a line.

Front

What does the term 'run' refer to in the context of slope?

Back

'Run' refers to the horizontal change between two points on a line.

Front

If a line has a slope of 0, what does this indicate about the line?

Back

A slope of 0 indicates that the line is horizontal.

Front

If a line has an undefined slope, what does this indicate about the line?

Back

An undefined slope indicates that the line is vertical.

Front

How do you interpret a positive slope?

Back

A positive slope indicates that as the x-value increases, the y-value also increases.

Front

How do you interpret a negative slope?

Back

A negative slope indicates that as the x-value increases, the y-value decreases.

Front

What is the slope of a line that passes through the points (2, 3) and (4, 7)?

Back

The slope is 2, calculated as (7 - 3) / (4 - 2).

Front

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

Back

The slope is undefined because the x-values are the same, indicating a vertical line.

Front

What is the slope of a line that passes through the points (3, 4) and (6, 4)?

Back

The slope is 0 because the y-values are the same, indicating a horizontal line.