Slope from two points

Front

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

Back

The slope (m) is calculated using the formula: m = \frac{y2 - y1}{x2 - x1}.

Front

Find the slope of the line that passes through the points (10, 1) and (5, 2).

Back

The slope is -\frac{1}{5}.

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that the line is decreasing as it moves from left to right.

Front

Find the slope of the line through the points (8, 4) and (2, 6).

Back

The slope is -\frac{1}{3}.

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0.

Front

Find the slope of the line through the points (5, -6) and (12, -6).

Back

The slope is 0.

Front

What does a positive slope indicate about a line?

Back

A positive slope indicates that the line is increasing as it moves from left to right.

Front

Find the slope of the line through the points (-32, 5) and (4, -5).

Back

The slope is -\frac{5}{18}.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined.

Front

If the slope of a line is 1, what does this indicate about the angle of the line?

Back

A slope of 1 indicates that the line makes a 45-degree angle with the x-axis.