Finding Slope from Two Points Flashcard

Front

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

Back

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 an undefined slope indicate about a line?

Back

An undefined slope indicates that the line is vertical.

Front

Calculate the slope of the line passing through the points (2, 3) and (5, 7).

Back

m = (7 - 3) / (5 - 2) = 4 / 3.

Front

Calculate the slope of the line passing through the points (1, 2) and (1, 5).

Back

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

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

Find the slope of the line passing through the points (3, 4) and (3, 8).

Back

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

Front

Find the slope of the line passing through the points (-2, -3) and (2, 1).

Back

m = (1 - (-3)) / (2 - (-2)) = 4 / 4 = 1.

Front

What is the slope of a line that is perfectly horizontal?

Back

The slope is 0.