Slope Formula

Front

What is the slope formula?

Back

The slope formula is given by m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are two points on a line.

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 (change in y) and run (change in x), and use the formula m = rise/run.

Front

What does a positive slope indicate?

Back

A positive slope indicates that as x increases, y also increases, showing an upward trend.

Front

What does a negative slope indicate?

Back

A negative slope indicates that as x increases, y decreases, showing a downward trend.

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0, as there is no change in y regardless of the change in x.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined, as the change in x is 0, leading to division by zero.

Front

How do you calculate the slope between two points (5, -6) and (12, -20)?

Back

Using the slope formula: m = (-20 - (-6)) / (12 - 5) = -14 / 7 = -2.

Front

What is the rate of change in a table of values?

Back

The rate of change is the slope calculated from the change in y-values over the change in x-values between two points.

Front

If the slope is 1.5 cm/week, what does this mean?

Back

It means that for every week, the value increases by 1.5 cm.

Front

What is the slope of the line represented by the equation y = -4x + 3?

Back

The slope is -4, which indicates a steep downward trend.