Slope from two points

Front

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

Back

The slope (m) is calculated using the formula: m = \frac{y_2 - y_1}{x_2 - x_1}.

Front

Find the slope of the line through the points (1, 2) and (3, 4).

Back

The slope is 1.

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 is the slope of a horizontal line?

Back

The slope of a horizontal line is 0.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined.

Front

Calculate the slope between the points (2, 3) and (5, 7).

Back

The slope is \frac{4}{3}.

Front

If the slope of a line is \frac{3}{2}, what does this mean?

Back

For every 2 units the line moves horizontally to the right, it moves 3 units up.

Front

What is the slope of the line through the points (-1, -1) and (1, 1)?

Back

The slope is 1.

Front

How do you determine if a slope is steep?

Back

A slope is considered steep if its absolute value is greater than 1.