Finding slope from Two-Points

Front

What is the formula to calculate the slope between two points (x1, y1) and (x2, y2)?

Back

The formula for slope (m) is m = (y2 - y1) / (x2 - x1).

Front

Given the points (1, 2) and (3, 4), what is the slope?

Back

The slope is 1.

Front

How do you interpret a slope of 0?

Back

A slope of 0 indicates a horizontal line, meaning there is no change in y as x changes.

Front

What does a positive slope indicate about the relationship between x and y?

Back

A positive slope indicates that as x increases, y also increases.

Front

What does a negative slope indicate about the relationship between x and y?

Back

A negative slope indicates that as x increases, y decreases.

Front

If the slope between two points is 3/2, what does this mean in terms of rise over run?

Back

It means for every 2 units you move horizontally (run), you move 3 units vertically (rise).

Front

What is the slope of the line that passes through the points (2, 4) and (6, 12)?

Back

The slope is 2.

Front

How do you find the slope from a table of values?

Back

Select two points from the table, use the slope formula m = (y2 - y1) / (x2 - x1) to calculate the slope.

Front

What is the slope of the line represented in the table if it is given as 4?

Back

The slope is 4, indicating a rise of 4 units for every 1 unit of run.

Front

What is the significance of the slope in a linear equation?

Back

The slope indicates the rate of change of y with respect to x in the linear equation y = mx + b.