Finding Slope from a Graph Flashcard

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, usually represented as 'm'. It is calculated as the change in y (rise) over the change in x (run).

Front

How do you find the slope from a graph?

Back

To find the slope from a graph, select two points on the line, determine the rise (change in y) and run (change in x), and then divide the rise by the run.

Front

What does a positive slope indicate?

Back

A positive slope indicates that as the x-value increases, the y-value also increases, showing an upward trend.

Front

What does a negative slope indicate?

Back

A negative slope indicates that as the x-value increases, the y-value decreases, showing a downward trend.

Front

What is a zero slope?

Back

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

Front

What is an undefined slope?

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 (2, 3) and (4, 7), what is the slope?

Back

The slope is 2, calculated as (7-3)/(4-2) = 4/2 = 2.

Front

What is the slope of a line that goes down from left to right?

Back

The slope is negative.

Front

What is the slope of a line that goes up from left to right?

Back

The slope is positive.

Front

How do you express a slope of -2/1 in simplest form?

Back

The simplest form of -2/1 is -2.