Finding slope from Two-Points

Front

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

Back

The formula for slope (m) is m = (y2 - y1) / (x2 - x1).

Front

Given the points (2, 3) and (5, 11), what is the slope?

Back

The slope is (11 - 3) / (5 - 2) = 8 / 3.

Front

What does a positive slope indicate about the relationship between two points on a graph?

Back

A positive slope indicates that as x increases, y also increases, showing a direct relationship.

Front

What does a negative slope indicate about the relationship between two points on a graph?

Back

A negative slope indicates that as x increases, y decreases, showing an inverse relationship.

Front

If the slope between two points is zero, what does this imply about the line?

Back

A slope of zero implies that the line is horizontal.

Front

If the slope is undefined, what does this imply about the line?

Back

An undefined slope implies that the line is vertical.

Front

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

Back

To find the slope from a table, select two points (x1, y1) and (x2, y2) and use the slope formula m = (y2 - y1) / (x2 - x1).

Front

What is the slope of the line represented by the points (1, 2) and (1, 5)?

Back

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

Front

How can you determine if two lines are parallel using their slopes?

Back

Two lines are parallel if they have the same slope.

Front

How can you determine if two lines are perpendicular using their slopes?

Back

Two lines are perpendicular if the product of their slopes is -1.