Calculating and Finding Slope

Front

What is the formula to calculate the slope between two points?

Back

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

Front

What does a positive slope indicate about a line?

Back

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

Front

What does a negative slope indicate about a line?

Back

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

Front

What does a zero slope indicate about a line?

Back

A zero slope indicates a horizontal line where y remains constant as x changes.

Front

What does an undefined slope indicate about a line?

Back

An undefined slope indicates a vertical line where x remains constant as y changes.

Front

Calculate the slope between the points (1, 2) and (4, 5).

Back

Slope = (5 - 2) / (4 - 1) = 3 / 3 = 1.

Front

If a line has a slope of 2, what is the rate of change?

Back

The rate of change is 2 units of y for every 1 unit of x.

Front

What is the slope of a line that is perfectly vertical?

Back

The slope is undefined.

Front

What is the slope of a line that is perfectly horizontal?

Back

The slope is 0.

Front

If the slope of a line is 3/4, what does this mean in terms of rise over run?

Back

For every 4 units moved horizontally (run), the line rises 3 units (rise).