3.3B Slope + More

Front

What is the definition of slope in mathematics?

Back

Slope is a measure of the steepness or incline of a line, calculated as the change in y (vertical change) divided by the change in x (horizontal change).

Front

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

Back

Slope (m) = (y2 - y1) / (x2 - x1).

Front

What is the slope-intercept form of a linear equation?

Back

The slope-intercept form is given by the equation y = mx + b, where m is the slope and b is the y-intercept.

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

Back

Front

If a line has a slope of -3, what does this mean in terms of rise over run?

Back

A slope of -3 means that for every 1 unit you move to the right (run), the line goes down 3 units (rise).

Front

How do you identify the slope from a graph?

Back

To identify the slope from a graph, select two points on the line, calculate the vertical change (rise) and the horizontal change (run), and then divide rise by run.

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0, indicating no vertical change as x changes.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined, as it would involve division by zero (change in x is 0).