Finding slope given two points

Front

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

Back

The slope (m) is calculated using the formula: 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 'no slope' mean in the context of a line?

Back

'No slope' means that the line is vertical, and the slope is undefined.

Front

How do you determine if two points have the same y-coordinate?

Back

If the y-coordinates of both points are equal, then the points lie on a horizontal line.

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 positive, what does that indicate about the direction of the line?

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 direction of the line?

Back

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

Front

Given the points (2, 3) and (2, 7), what is the slope?

Back

The slope is undefined because the x-coordinates are the same.

Front

What is the slope of the line that passes through the points (1, 2) and (4, 5)?

Back

The slope is 1, calculated as (5 - 2) / (4 - 1).

Front

How can you tell if a slope is steep or gentle?

Back

A steeper slope has a larger absolute value, while a gentler slope has a smaller absolute value.