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 'm' in the slope-intercept form of a linear equation (y = mx + b). It is calculated as the change in y (rise) over 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 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 has a positive slope, what does that indicate about the line's direction?

Back

A positive slope indicates that the line rises from left to right.

Front

If a line has a negative slope, what does that indicate about the line's direction?

Back

A negative slope indicates that the line falls from left to right.

Front

What is the slope of the line that passes through the points (4, -3) and (8, -3)?

Back

0

Front

What is the slope of the line that passes through the points (-4, -1) and (-2, -5)?

Back

-2

Front

Find the slope given the points (2, −7) and (−1, 6).

Back

-13/3

Front

What does a slope of 4/3 indicate about the line?

Back

A slope of 4/3 indicates that for every 4 units the line rises, it moves 3 units to the right.