Slope From Two Points

Front

What is the formula to calculate the slope between two points?

Back

The slope (m) is calculated using the formula: m = \frac{y_2 - y_1}{x_2 - x_1}.

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

Back

m = \frac{4 - 2}{3 - 1} = \frac{2}{2} = 1.

Front

Calculate the slope between the points (2, 3) and (2, 5).

Back

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

Front

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

Back

m = \frac{5 - 0}{5 - 0} = \frac{5}{5} = 1.

Front

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

Back

m = \frac{10 - 7}{6 - 3} = \frac{3}{3} = 1.

Front

What is the slope between the points (-1, -1) and (2, 2)?

Back

m = \frac{2 - (-1)}{2 - (-1)} = \frac{3}{3} = 1.

Front

Calculate the slope between the points (4, -7) and (6, -2).

Back

m = \frac{-2 - (-7)}{6 - 4} = \frac{5}{2}.

Front

What is the slope of the line that passes through the points (5, 5) and (5, 10)?

Back

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