Slope from Two Points & Tables

Front

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

Back

The formula for slope is: 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 (2, 3) and (4, 7).

Back

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

Front

Calculate the slope of the line that passes through the points (1, 1) and (1, 5).

Back

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

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

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 descends from left to right.

Front

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

Back

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

Front

What is the slope of the line that passes through the points (6, 2) and (2, 2)?

Back

m = (2 - 2) / (2 - 6) = 0 / -4 = 0

Front

Calculate the slope of the line that passes through the points (5, -3) and (10, 2).

Back

m = (2 - (-3)) / (10 - 5) = 5 / 5 = 1