Find Slope Graphically

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, calculated as the ratio of the rise (vertical change) to the run (horizontal change).

Front

How do you find the slope graphically?

Back

To find the slope graphically, select two points on the line, determine the rise and run between them, and divide the rise by the run.

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 a positive slope indicate about the direction of a line?

Back

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

Front

What does a negative slope indicate about the direction of a line?

Back

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

Front

What is the formula for calculating slope?

Back

The formula for calculating slope (m) is m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are two points on the line.

Front

If a line rises 3 units and runs 6 units, what is the slope?

Back

The slope is 3/6, which simplifies to 1/2.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined.

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0.

Front

If a line has a slope of 1, what does this mean?

Back

A slope of 1 means that for every 1 unit of rise, there is 1 unit of run, indicating a 45-degree angle.