Finding Slope

Front

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

Back

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

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

What does a slope of zero mean?

Back

A slope of zero means the line is horizontal and there is no change in y as x changes.

Front

What does an undefined slope mean?

Back

An undefined slope means the line is vertical, and there is no change in x as y changes.

Front

Find the slope of the line given by the points (2, 3) and (4, 7).

Back

Slope = (7 - 3) / (4 - 2) = 4/2 = 2.

Front

Find the slope of the line given by the points (1, 2) and (1, 5).

Back

Slope = (5 - 2) / (1 - 1) = Undefined.

Front

If the slope of a line is -3, what does this tell you about the line's direction?

Back

The line falls from left to right.

Front

How do you determine the slope from a table of values?

Back

Calculate the change in y divided by the change in x between two points.

Front

What is the slope of the line represented by the equation y = 2x + 3?

Back

The slope is 2.