Slope of a Line

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, typically represented as 'm'. It is calculated as the change in y (rise) divided by the change in x (run).

Front

How do you calculate the slope between two points (x1, y1) and (x2, y2)?

Back

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

Front

What does a positive slope indicate about a line?

Back

A positive slope indicates that as x increases, y also increases, meaning the line rises from left to right.

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that as x increases, y decreases, meaning the line falls from left to right.

Front

What does a slope of zero mean?

Back

A slope of zero means the line is horizontal, indicating that there is no change in y as x changes.

Front

What does an undefined slope mean?

Back

An undefined slope occurs in vertical lines where x does not change, leading to division by zero in the slope formula.

Front

Find the slope of the line that passes through (10, 1) and (5, 2).

Back

-1/5

Front

Find the slope given the points (2, −7) and (−1, 6).

Back

-13/3

Front

Find the slope of the line that passes through (-4, 7) and (-6, -4).

Back

m=11/2

Front

Find the slope of the line that passes through (2, 4) and (6, 12).

Back

2