Sept 18 - FC Slope Review

Front

What is the definition of slope?

Back

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

Front

How do you calculate the slope from two points (x1, y1) and (x2, y2)?

Back

Slope (m) = (y2 - y1) / (x2 - x1)

Front

What is the slope of the line represented by the equation y = mx + b?

Back

The slope (m) is the coefficient of x in the equation.

Front

If a line rises from left to right, what is the sign of its slope?

Back

The slope is positive.

Front

If a line falls from left to right, what is the sign of its slope?

Back

The slope is negative.

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

Given the points (2, 4) and (6, 12), what is the slope?

Back

Slope = (12 - 4) / (6 - 2) = 2.

Front

What does a slope of 4 indicate about a line?

Back

For every 1 unit increase in x, y increases by 4 units.

Front

How can you determine which of two slopes is greater?

Back

Compare the numerical values of the slopes; the larger value indicates the steeper line.