SLOPE PRACTICE-HONORS

Front

What is the definition of slope?

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 a slope of 0 indicate about a line?

Back

A slope of 0 indicates that the line is horizontal and there is no change in y as x changes.

Front

What does an undefined slope indicate?

Back

An undefined slope indicates that the line is vertical, meaning there is no change in x as y changes.

Front

What is the y-intercept of a line?

Back

The y-intercept is the point where the line crosses the y-axis, represented as (0, b) where b is the y-coordinate.

Front

How can you find the y-intercept from the slope-intercept form of a line?

Back

In the slope-intercept form, y = mx + b, the y-intercept is the value of b.

Front

What is the slope-intercept form of a linear equation?

Back

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

Front

If a line has a slope of -5/4, what does this indicate about its direction?

Back

A slope of -5/4 indicates that the line is decreasing; for every 4 units moved to the right, the line moves down 5 units.

Front

What is the relationship between the slopes of parallel lines?

Back

Parallel lines have the same slope; they never intersect.

Front

What is the relationship between the slopes of perpendicular lines?

Back

Perpendicular lines have slopes that are negative reciprocals of each other; if one slope is m, the other is -1/m.