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

If the slope of a line is 0, what does this indicate about the line?

Back

The line is horizontal.

Front

What does a negative slope indicate about the direction of a line?

Back

The line descends from left to right.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined.

Front

How do you interpret a slope of 2?

Back

For every 2 units the line rises, it moves 1 unit to the right.

Front

What is the slope of the line that passes through the points (3, 4) and (3, 7)?

Back

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

Front

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

Back

The slope indicates the rate of change of y with respect to x.

Front

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

Back

Two lines are parallel if they have the same slope.

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

What does a slope of -1/4 indicate about the steepness of a line?

Back

The line is relatively flat, descending slowly.