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 does a slope of 0 indicate about a line?

Back

A slope of 0 indicates that the line is horizontal.

Front

What does an undefined slope indicate about a line?

Back

An undefined slope indicates that the line is vertical.

Front

Calculate the slope of the line passing through the points (2, 4) and (6, 12).

Back

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

Front

Determine the slope from the table of values: (1, 2), (2, 4), (3, 6).

Back

Slope = (6 - 2) / (3 - 1) = 2.

Front

What is the slope of the line represented by the equation y = 4x + 3?

Back

The slope is 4.