Slope

Front

What is the definition of slope?

Back

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

Front

How do you calculate the slope between two points (x1, y1) and (x2, y2)?

Back

Slope (m) = (y2 - y1) / (x2 - x1)

Front

What does a positive slope indicate about a line?

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 about a line?

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 does an undefined slope mean?

Back

An undefined slope occurs when a line is vertical, meaning there is no horizontal change (x2 - x1 = 0), making the slope calculation impossible.

Front

What does a slope of zero indicate?

Back

A slope of zero indicates a horizontal line, meaning there is no vertical change as the x-value changes.

Front

In the equation y = mx + b, what does 'm' represent?

Back

'm' represents the slope of the line.

Front

If the slope of a line is 3, what does this mean in terms of rise over run?

Back

It means that for every 3 units the line rises vertically, it runs 1 unit horizontally.

Front

What is the slope of the line represented by the equation y = 4x - 1?

Back

The slope is 4.

Front

Calculate the slope between the points (2, 3) and (5, 11).

Back

Slope = (11 - 3) / (5 - 2) = 8 / 3.