Slope from Points

Front

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

Back

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

Front

Find the slope of the line that passes through the points (2, 3) and (4, 7).

Back

m = (7 - 3) / (4 - 2) = 4/2 = 2

Front

What does a positive slope indicate about a line?

Back

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

Front

What does a negative slope indicate about a line?

Back

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

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

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

Back

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

Front

Find the slope of the line that passes through the points (-1, -1) and (1, 1).

Back

m = (1 - (-1)) / (1 - (-1)) = 2/2 = 1

Front

What is the slope of the line that passes through the points (0, 0) and (5, 5)?

Back

m = (5 - 0) / (5 - 0) = 5/5 = 1

Front

If a line has a slope of -2, what does this indicate about the line's direction?

Back

The line falls steeply as it moves from left to right.