Slope from a Graph

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 ratio of the rise (vertical change) to the run (horizontal change) between two points on the line.

Front

How do you calculate the slope using rise and run?

Back

Slope (m) = Rise / Run, where 'rise' is the vertical change and 'run' is the horizontal change between two points.

Front

What does a positive slope indicate?

Back

A positive slope indicates that as the x-value increases, the y-value also increases, meaning the line rises from left to right.

Front

What does a negative slope indicate?

Back

A negative slope indicates that as the x-value increases, the y-value decreases, meaning the line falls from left to right.

Front

What is an undefined slope?

Back

An undefined slope occurs when a line is vertical, meaning there is no horizontal change (run = 0), making the slope calculation impossible.

Front

What is a zero slope?

Back

A zero slope occurs when a line is horizontal, meaning there is no vertical change (rise = 0), indicating that the y-value remains constant as the x-value changes.

Front

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

Back

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

Front

What is the slope of the line represented by the equation y = 3x + 2?

Back

The slope of the line is 3, which is the coefficient of x in the equation.

Front

If a line passes through the points (1, 2) and (4, 5), what is the slope?

Back

The slope is m = (5 - 2) / (4 - 1) = 3 / 3 = 1.

Front

What does it mean if a line has a steep slope?

Back

A steep slope means that the line rises or falls quickly, indicating a large change in y for a small change in x.