slope two points

Front

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

Back

The slope (m) is calculated using the formula: m = \frac{y2 - y1}{x2 - x1}.

Front

Calculate the slope between the points (3, 7) and (7, 2).

Back

m = \frac{2 - 7}{7 - 3} = -\frac{5}{4}.

Front

Calculate the slope of the line that passes through the points (1, -8) and (-3, 0).

Back

m = \frac{0 - (-8)}{-3 - 1} = -2.

Front

Find the slope of the line that passes through (10, 1) and (5, 2).

Back

m = \frac{2 - 1}{5 - 10} = -\frac{1}{5}.

Front

What does it mean if the slope of a line is undefined?

Back

An undefined slope occurs when the line is vertical, meaning the x-coordinates of the two points are the same.

Front

Calculate the slope of the line that passes through (2, -1) and (2, -5).

Back

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

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0.

Front

Find the slope of the line that passes through (7, 1) and (-2, 1).

Back

The slope is 0 because the y-coordinates are the same.

Front

If the slope of a line is positive, what does that indicate about the line's direction?

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 line's direction?

Back

A negative slope indicates that the line falls from left to right.