Slope from Two Points

Front

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

Back

Front

If the points are (2, 3) and (4, 7), what is the slope?

Back

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 is the slope of a horizontal line?

Back

The slope of a horizontal line is 0, indicating no change in y as x changes.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined, as it would involve division by zero in the slope formula.

Front

If the slope of a line is 3, what does this mean in terms of rise over run?

Back

A slope of 3 means that for every 1 unit you move to the right (run), the line rises 3 units (rise).

Front

How do you determine the slope from a graph?

Back

Front

What is the slope of the line that passes through the points (1, 2) and (3, 8)?

Back

Front

If a line has a slope of -1, what does this indicate about the relationship between x and y?

Back

A slope of -1 indicates that for every 1 unit increase in x, y decreases by 1 unit.