Slope and Graphs of Lines

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 ratio of the vertical change (rise) to the horizontal change (run) between two points on the line.

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

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

Back

The slope is -1/5.

Front

Find the slope between the points (-2, 4) and (-5, 8).

Back

The slope is -4/3.

Front

What is the slope formula?

Back

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

Front

Find the slope of the line that passes through (3, 7) and (8, 2).

Back

The slope is -1.

Front

What does a positive slope indicate about a line?

Back

A positive slope indicates that as the x-values increase, the y-values also increase, 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 the x-values increase, the y-values decrease, meaning the line falls from left to right.

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined.