Slope from a graph and table

Front

What is slope?

Back

Slope is a measure of the steepness or incline of a line, calculated as the ratio of the vertical change (rise) to the horizontal change (run).

Front

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

Back

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 no change in y as x changes.

Front

What does an undefined slope mean?

Back

An undefined slope occurs in vertical lines where the x-value does not change, leading to 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

Front

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

Back

Front

What is the slope of a line represented by the equation y = 2x + 1?

Back

The slope is 2.

Front

How can you determine the slope from a graph?

Back