Benchmark: Find 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

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 through the points (1, 2) and (3, 4).

Back

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

Front

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

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 that passes through the points (4, 2) and (6, 6).

Back

m = (6 - 2) / (6 - 4) = 4/2 = 2

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 (-1, -1) and (1, 1).

Back

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