Finding slope with a graph, 2 sets of points and equations

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) divided by the change in x (run).

Front

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

Back

The slope (m) is calculated using the formula: m = (y2 - y1) / (x2 - x1).

Front

What does a positive slope indicate about a line?

Back

A positive slope indicates that as x increases, y 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 x increases, y decreases, meaning the line falls from left to right.

Front

What is the slope of the line represented by the equation y = mx + b?

Back

In the equation y = mx + b, 'm' represents the slope of the line.

Front

Find the slope of the line that passes through the points (2, 3) and (4, 7).

Back

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

Front

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

Back

The slope is -3.

Front

If a line has a slope of 0, what does that mean?

Back

A slope of 0 means the line is horizontal and does not rise or fall.

Front

If a line has an undefined slope, what does that mean?

Back

An undefined slope means the line is vertical, and it cannot be expressed as a ratio of rise over 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 and run between them, and use the formula m = rise/run.