Slope from a Graph & Table

Front

What is the definition of slope?

Back

Slope is a measure of the steepness or incline of a line, calculated as the change in the vertical direction (rise) divided by the change in the horizontal direction (run).

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 slope of zero indicate about a line?

Back

A slope of zero indicates that the line is horizontal and there is no vertical change as you move along the line.

Front

What does an undefined slope indicate?

Back

An undefined slope indicates that the line is vertical, meaning there is no horizontal change as you move along the line.

Front

If a line rises from left to right, what can you say about its slope?

Back

The slope is positive.

Front

If a line falls from left to right, what can you say about its slope?

Back

The slope is negative.

Front

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

Back

The slope is 2.

Front

How can you determine the slope from a graph?

Back

Choose two points on the line, find the rise and run between them, and calculate the slope using the formula: slope = rise/run.

Front

What is the slope of the line represented by the table: (1, 2), (2, 4), (3, 6)?

Back

The slope is 2/1.

Front

What is the slope of the line represented by the table: (1, 3), (2, 1), (3, -1)?

Back

The slope is -2/1.