Slope from 2 points

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, usually 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

What does a positive slope indicate about a line?

Back

A positive slope indicates that as you move from left to right along the line, the line rises. This means that the y-values increase as the x-values increase.

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that as you move from left to right along the line, the line falls. This means that the y-values decrease as the x-values increase.

Front

What does a slope of zero mean?

Back

A slope of zero means that the line is horizontal, indicating that there is no vertical change as the x-values change.

Front

What does an undefined slope mean?

Back

An undefined slope occurs when a line is vertical, meaning that the x-values are the same for two points, resulting in a division by zero in the slope formula.

Front

Find the slope of the line that passes through (2, 3) and (4, 7).

Back

The slope is m = (7 - 3) / (4 - 2) = 4 / 2 = 2.

Front

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

Back

The slope is undefined because the x-values are the same (1).

Front

If a line passes through the points (3, 4) and (-1, 4), what is the slope?

Back

The slope is 0 because the y-values are the same (4).

Front

What is the slope of the line that passes through (5, -10) and (5, -4)?

Back

The slope is undefined because the x-values are the same (5).