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 (5, 11), what is the slope?

Back

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

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined.

Front

If the slope of a line is 1, what does this imply about the change in y relative to x?

Back

A slope of 1 implies that for every unit increase in x, y increases by the same amount.

Front

How do you interpret a slope of -2?

Back

A slope of -2 means that for every unit increase in x, y decreases by 2 units.

Front

What is the slope of the line represented by the equation y = 3x + 4?

Back

The slope (m) is 3, indicating a steep positive incline.

Front

If the slope between points (1, 2) and (3, 6) is calculated, what is the result?

Back