Flashcard 1 - Finding Slope

Front

What is the definition of slope in mathematics?

Back

Slope is a measure of the steepness or incline of a line, typically represented as the ratio of the vertical change (rise) to the horizontal change (run) between two points on the line.

Front

What is the formula to calculate the slope (m) between two points (x1, y1) and (x2, y2)?

Back

The formula for slope is: m = (y2 - y1) / (x2 - x1).

Front

What type of slope is represented by a line that rises from left to right?

Back

A line that rises from left to right has a positive slope.

Front

What type of slope is represented by a line that falls from left to right?

Back

A line that falls from left to right has a negative slope.

Front

What type of slope does a horizontal line have?

Back

A horizontal line has a slope of zero.

Front

What type of slope does a vertical line have?

Back

A vertical line has an undefined slope.

Front

Back

Front

Calculate the slope of the line passing through the points (1, 2) and (4, 5).

Back

Front

What is the slope of a line that passes through the points (2, 3) and (2, 7)?

Back

The slope is undefined because the x-coordinates are the same, indicating a vertical line.

Front

If a line has a slope of -1, what does this indicate about the line's direction?

Back

A slope of -1 indicates that the line falls at a 45-degree angle from left to right.