Calculating Slope

Front

What is the definition of slope?

Back

The slope of a line is a measure of its steepness, typically represented as the ratio of the vertical change (rise) to the horizontal change (run) between two points on the line.

Front

How is slope calculated using two points (x1, y1) and (x2, y2)?

Back

Front

What does a positive slope indicate about a line?

Back

A positive slope indicates that as the x-value increases, the y-value also increases, 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-value increases, the y-value decreases, meaning the line falls from left to right.

Front

What is an undefined slope?

Back

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0, indicating that there is no vertical change as the x-value changes.

Front

If a line has a slope of 4, what does this mean in terms of rise and run?

Back

A slope of 4 means that for every 1 unit of horizontal change (run), the vertical change (rise) is 4 units.

Front

Calculate the slope between the points (2, 3) and (5, 11).

Back

Front

What is the slope of the line represented by the equation y = 2x + 1?

Back

The slope of the line is 2, which is the coefficient of x in the equation.

Front

How do you identify the slope from a graph?

Back