Calculating Slope

Front

What is the formula to calculate the slope of a line?

Back

The slope (m) is calculated using the formula: m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are two points on the line.

Front

What does a positive slope indicate about a line?

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?

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, indicating no change in y as x changes.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined, as it would require division by zero.

Front

Find the slope of the line that passes through (1, 2) and (3, 6).

Back

The slope is 2.

Front

If a line has a slope of 4, what does this mean?

Back

This means that for every 1 unit increase in x, the y-value increases by 4 units.

Front

How many graphs can have a positive slope?

Back

There can be multiple graphs with a positive slope, depending on the number of lines drawn.

Front

What is the slope of the line represented by the equation y = 3x + 2?

Back

The slope is 3.

Front

If the slope of a line is -1/2, what does this indicate?

Back

This indicates that for every 2 units increase in x, the y-value decreases by 1 unit.