Slope from Two Points

Front

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

Back

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

Front

What does the slope of a line represent in a graph?

Back

The slope of a line represents the rate of change of y with respect to x, indicating how steep the line is.

Front

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

Back

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

Front

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

Back

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

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined.

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0.

Front

How do you find the slope of a line given two points with the same y-coordinate?

Back

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

Front

How do you find the slope of a line given two points with the same x-coordinate?

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 (2, 3) and (5, 7)?

Back

The slope is (7 - 3) / (5 - 2) = 4 / 3.

Front

What is the significance of a slope of 1?

Back

A slope of 1 indicates that for every unit increase in x, y increases by the same amount, resulting in a 45-degree angle with the x-axis.