Slopes of Lines Given Two Points

Front

What is the formula to calculate the slope of a line given two points (x1, y1) and (x2, y2)?

Back

The slope (m) is calculated using the formula: m = (y2 - y1) / (x2 - x1).

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

What does a slope of zero indicate about a line?

Back

A slope of zero indicates that the line is horizontal.

Front

What does an undefined slope indicate about a line?

Back

An undefined slope indicates that the line is vertical.

Front

Calculate the slope of the line that passes through the points (1, 2) and (3, 4).

Back

The slope is 1, calculated as (4 - 2) / (3 - 1).

Front

How does the slope of a line relate to the steepness of the line?

Back

The greater the absolute value of the slope, the steeper the line.

Front

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

Back

The slope is undefined because the x-coordinates are the same, indicating a vertical line.

Front

If a line has a slope of -3, what does this tell you about the line's direction?

Back

A slope of -3 indicates that the line falls from left to right.

Front

What is the slope of the line that passes through the points (4, 8) and (6, 10)?

Back

The slope is 1, calculated as (10 - 8) / (6 - 4).

Front

How do you interpret a slope of 1/2?

Back

A slope of 1/2 means that for every 2 units you move horizontally to the right, the line rises 1 unit.