Slope from a Graph and Table

Front

What is slope?

Back

The slope is a measure of the steepness of a line, calculated as the change in vertical distance (rise) divided by the change in horizontal distance (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 positive slope indicate?

Back

A positive slope indicates that as the x-value increases, the y-value also increases.

Front

What does a negative slope indicate?

Back

A negative slope indicates that as the x-value increases, the y-value decreases.

Front

What does a slope of zero mean?

Back

A slope of zero means that the line is horizontal and there is no change in y as x changes.

Front

What does an undefined slope mean?

Back

An undefined slope occurs when a line is vertical, meaning there is no change in x as y changes.

Front

If a line passes through the points (1, 2) and (3, 6), what is the slope?

Back

Slope = (6 - 2) / (3 - 1) = 4 / 2 = 2.

Front

If a line has a slope of -3, what does this tell you about the line?

Back

The line decreases steeply as it moves from left to right.

Front

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

Back

The slope is 2.

Front

How can you find the slope from a table of values?

Back

Calculate the change in y divided by the change in x between two points in the table.