Slope Between 2 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

What does a slope of 0 indicate about a line?

Back

A slope of 0 indicates that the line is horizontal.

Front

What does a positive slope indicate about the relationship between two variables?

Back

A positive slope indicates that as one variable increases, the other variable also increases.

Front

What does a negative slope indicate about the relationship between two variables?

Back

A negative slope indicates that as one variable increases, the other variable decreases.

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) from the table and use the slope formula m = (y2 - y1) / (x2 - x1).

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined.

Front

If two points have the same y-coordinate, what can be said about the slope?

Back

If two points have the same y-coordinate, the slope is 0, indicating a horizontal line.

Front

If two points have the same x-coordinate, what can be said about the slope?

Back

If two points have the same x-coordinate, the slope is undefined, indicating a vertical line.

Front

What is the slope of the line that passes through the points (1, -19) and (-2, -7)?

Back

The slope is -4.

Front

How do you interpret a slope of -4 in a real-world context?

Back

A slope of -4 indicates that for every 1 unit increase in the x-direction, the y-value decreases by 4 units.