Slope (graphs, tables, points)

Front

What is the definition of slope?

Back

Slope is defined as the ratio of the rise (change in y) to the run (change in x) between two points on a line.

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

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

Back

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

Front

What is the slope of the line represented by the equation y = 3x + 2?

Back

The slope of the line is 3.

Front

If the slope of a line is 0, what does this mean?

Back

A slope of 0 means the line is horizontal and there is no change in y as x changes.

Front

If the slope of a line is undefined, what does this mean?

Back

An undefined slope means the line is vertical, and there is no change in x as y changes.

Front

Find the slope of the line passing through the points (1, 2) and (3, 6).

Back

The slope is 2.

Front

What is the slope of the line represented by the points (2, 3) and (5, 7)?

Back

The slope is 4/3.

Front

What is the slope of the line represented by the points (0, 0) and (4, 8)?

Back

The slope is 2.