Slope from a Graph

Front

What is the definition of slope in mathematics?

Back

Slope is the measure of the steepness or incline of a line, defined 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 of a line given two points (x1, y1) and (x2, y2)?

Back

The slope (m) can be calculated using the formula: m = (y2 - y1) / (x2 - x1).

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.

Front

If a line rises from left to right, what can be said about its slope?

Back

If a line rises from left to right, its slope is positive.

Front

If a line falls from left to right, what can be said about its slope?

Back

If a line falls from left to right, its slope is negative.

Front

What does a slope of 1/2 indicate about a line?

Back

A slope of 1/2 indicates that for every 2 units of horizontal change, there is a 1 unit increase in vertical change.

Front

What is the relationship between slope and parallel lines?

Back

Parallel lines have the same slope.

Front

What is the relationship between slope and perpendicular lines?

Back

Perpendicular lines have slopes that are negative reciprocals of each other.

Front

What does it mean if the slope is described as 'undefined'?

Back

An undefined slope indicates that the line is vertical, meaning there is no horizontal change (run) to calculate the slope.