Slope from Two Points

Front

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

Back

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

Front

What does it mean if the slope of a line is undefined?

Back

The slope is undefined when the line is vertical, meaning the x-coordinates of the two points are the same.

Front

Calculate the slope of the line that passes through the points (1, 2) and (3, 6).

Back

The slope is 2.

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0.

Front

If the slope of a line is positive, what does that indicate about the line's direction?

Back

A positive slope indicates that the line rises from left to right.

Front

If the slope of a line is negative, what does that indicate about the line's direction?

Back

A negative slope indicates that the line falls from left to right.

Front

What is the slope of the line that passes through the points (2, 3) and (2, 5)?

Back

The slope is undefined.

Front

How do you interpret a slope of 1/2 in a real-world context?

Back

A slope of 1/2 means that for every 2 units you move horizontally, you move 1 unit vertically.

Front

What is the significance of the slope in the context of a linear equation?

Back

The slope indicates the rate of change of the dependent variable with respect to the independent variable.

Front

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

Back

Two lines are parallel if they have the same slope.