Finding Slope from a Graph/Table

Front

What is the definition of slope?

Back

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

Back

The slope of a horizontal line is 0.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined.

Front

If a line has a slope of 2, what does this mean in terms of rise and run?

Back

For every 2 units of rise, there is a 1 unit run.

Front

How can you determine which line has the steepest slope from a graph?

Back

The line with the greatest absolute value of slope is the steepest.

Front

What is the slope of the line represented by the equation y = 3x + 1?

Back

The slope is 3.

Front

What is the rate of change in a linear function?

Back

The rate of change is the same as the slope of the line.