Slope from Graphs

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, 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 from two points (x1, y1) and (x2, y2)?

Back

Slope (m) = (y2 - y1) / (x2 - x1)

Front

What does a positive slope indicate about a line?

Back

A positive slope indicates that as the x-value increases, the y-value also increases, resulting in an upward trend.

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that as the x-value increases, the y-value decreases, resulting in a downward trend.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined because the run (horizontal change) is zero.

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0 because there is no vertical change (rise) as the x-value changes.

Front

If a line has a slope of 3/2, what does this mean?

Back

This means that for every 2 units of horizontal change (run), the line rises 3 units (rise).

Front

What type of slope does a line with coordinates (1, 2) and (3, 4) have?

Back

Positive slope, calculated as (4 - 2) / (3 - 1) = 2/2 = 1.

Front

What type of slope does a line with coordinates (2, 5) and (2, 3) have?

Back

Undefined slope, as the x-values are the same, indicating a vertical line.

Front

What is the slope of a line that decreases as it moves from left to right?

Back

Negative slope.