Slope from 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

What does a positive slope indicate about a line on a graph?

Back

A positive slope indicates that as the x-values increase, the y-values also increase, meaning the line rises from left to right.

Front

What does a negative slope indicate about a line on a graph?

Back

A negative slope indicates that as the x-values increase, the y-values decrease, meaning the line falls from left to right.

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined.

Front

Find the slope of the line that passes through the points (2, 3) and (4, 7).

Back

The slope is m = \frac{7 - 3}{4 - 2} = \frac{4}{2} = 2.

Front

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

Back

The slope is m = \frac{1 - (-1)}{1 - (-1)} = \frac{2}{2} = 1.

Front

If the slope of a line is 3, what does this mean in terms of rise over run?

Back

A slope of 3 means that for every 1 unit you move to the right (run), you move up 3 units (rise).

Front

What is the slope of the line that passes through the points (0, 0) and (5, 10)?

Back

The slope is m = \frac{10 - 0}{5 - 0} = \frac{10}{5} = 2.

Front

How do you determine if two lines are parallel using their slopes?

Back

Two lines are parallel if they have the same slope.