Finding Slope from Two Points

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 it mean if the slope of a line is undefined?

Back

An undefined slope occurs when the line is vertical, meaning the x-coordinates of the two points are the same.

Front

Calculate the slope of the line that passes through the points (3, 2) and (3, 5).

Back

The slope is undefined.

Front

What does a positive slope indicate about a line?

Back

A positive slope indicates that as x increases, y also increases, meaning the line rises from left to right.

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that as x increases, y decreases, meaning the line falls from left to right.

Front

Find the slope of the line that passes through the points (1, 2) and (4, 5).

Back

The slope is m = (5 - 2) / (4 - 1) = 3/3 = 1.

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 that passes through the points (-2, 3) and (2, 3).

Back

The slope is 0.

Front

If the slope of a line is -2, what does this tell you about the line's direction?

Back

The line falls as it moves from left to right.

Front

Calculate the slope of the line that passes through the points (0, 0) and (5, 10).

Back

The slope is m = (10 - 0) / (5 - 0) = 10/5 = 2.