Favela's Slope from table

Front

What is the definition of slope in mathematics?

Back

The slope is a measure of the steepness or incline of a line, typically represented as 'm' in the equation of a line (y = mx + b). It is calculated as the change in y divided by the change in x (rise over run).

Front

How do you calculate the slope between 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 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 does a slope of zero mean?

Back

A slope of zero means that the line is horizontal, indicating that 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 the slope of a line is 3/2, what does this mean in terms of rise and run?

Back

A slope of 3/2 means that for every 2 units you move horizontally (run), the line rises 3 units (rise).

Front

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

Back

The slope of a line that goes down from left to right is negative.

Front

Given the points (1, 2) and (4, 8), what is the slope?

Back

The slope is m = (8 - 2) / (4 - 1) = 6 / 3 = 2.

Front

What is the slope of a line represented by the equation y = -5x + 3?

Back

The slope is -5.