Section 3-2: Calculating Slope Between Two Points

Front

What is the formula for calculating 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 that passes through the points (1, 2) and (3, 6).

Back

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

Front

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

Back

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

Front

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

Back

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

Front

Calculate 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

What is the slope of a line that goes down from left to right?

Back

The slope is negative.

Front

What is the slope of a line that goes up from left to right?

Back

The slope is positive.

Front

Calculate the slope of the line that passes through the points (-1, -1) and (1, 1).

Back

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