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

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

Back

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

Front

What does a slope of 0 indicate about a line?

Back

A slope of 0 indicates that the line is horizontal.

Front

What does an undefined slope indicate about a line?

Back

An undefined slope indicates that the line is vertical.

Front

If a line has a positive slope, what does this tell you about the direction of the line?

Back

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

Front

If a line has a negative slope, what does this tell you about the direction of the line?

Back

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

Front

What is the slope of a line that goes through the points (2, 3) and (4, 7)?

Back

The slope is 2.

Front

What is the slope of a line that goes through the points (1, 2) and (3, 2)?

Back

The slope is 0.

Front

What is the slope of a line that goes through the points (1, 1) and (1, 4)?

Back

The slope is undefined.

Front

How do you interpret a slope of 1?

Back

A slope of 1 means that for every unit increase in x, y increases by the same amount, indicating a 45-degree angle.