Slope from a Graph and Table

Front

What is slope?

Back

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

Front

How do you calculate the slope from 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 a slope of zero mean?

Back

A slope of zero means the line is horizontal, indicating that there is no vertical change as the x-value changes.

Front

What does an undefined slope mean?

Back

An undefined slope occurs with a vertical line, where the x-value does not change, leading to a division by zero in the slope formula.

Front

If a line rises 3 units for every 1 unit it runs, what is the slope?

Back

The slope is 3.

Front

If a line falls 2 units for every 4 units it runs, what is the slope?

Back

The slope is -1/2.

Front

What is the slope of a line that goes through the points (1, 2) and (3, 6)?

Back

The slope is 2.

Front

How can you tell if a slope is steep?

Back

A slope is considered steep if the absolute value of the slope is greater than 1.