Finding Slope from Two Points

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

Find the slope of the line that passes through the points (1, 3) and (4, 9).

Back

m = (9 - 3) / (4 - 1) = 6 / 3 = 2

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

Find the slope of the line that passes through the points (2, 5) and (2, 8).

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

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

The line falls from left to right.

Front

Find the slope of the line that passes through the points (3, 7) and (6, 10).

Back

m = (10 - 7) / (6 - 3) = 3 / 3 = 1

Front

What is the slope of the line that passes through the points (0, 0) and (5, 5)?

Back

m = (5 - 0) / (5 - 0) = 5 / 5 = 1

Front

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

Back

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