Finding Slope from Two Points on a Line

Front

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

Back

The slope (m) is calculated using the formula: m = (y2 - y1) / (x2 - x1).

Front

What does an undefined slope indicate about a line?

Back

An undefined slope indicates that the line is vertical, meaning it goes straight up and down.

Front

What does a slope of 0 indicate about a line?

Back

A slope of 0 indicates that the line is horizontal, meaning it goes straight across.

Front

If the slope of a line is positive, what does that tell you about the direction of the line?

Back

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

Front

If the slope of a line is negative, what does that tell you about the direction of the line?

Back

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

Front

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

Back

The slope is m = (7 - 3) / (4 - 2) = 4 / 2 = 2.

Front

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

Back

The slope is undefined because the x-coordinates are the same (1).

Front

What is the slope of the line that passes through the points (3, 4) and (3, 1)?

Back

The slope is undefined because the line is vertical.

Front

Find the slope of the line that passes through the points (0, 0) and (5, 5).

Back

The slope is m = (5 - 0) / (5 - 0) = 5 / 5 = 1.

Front

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

Back

The slope is m = (1 - (-1)) / (1 - (-1)) = 2 / 2 = 1.