8.2.2 Counting Slope

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 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 an undefined slope indicate?

Back

An undefined slope indicates a vertical line, where the change in x is zero (x1 = x2), making the denominator of the slope formula zero.

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0, as there is no change in y (rise) regardless of the change in x (run).

Front

If a line passes through the points (2, 3) and (5, 3), what is the slope?

Back

The slope is 0, as there is no change in y (both y-values are 3).

Front

What is the formula for slope-intercept form of a line?

Back

The slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

Front

What does the term 'rise' refer to in slope calculations?

Back

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

Front

What does the term 'run' refer to in slope calculations?

Back

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

Front

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

Back

A slope of 2 means that for every 2 units of rise, there is a 1 unit run.

Front

How can you determine if a slope is positive or negative?

Back

A positive slope rises from left to right, while a negative slope falls from left to right.