PROPORTIONAL RELATIONSHIPS AND SLOPE OF A LINE

Front

What is a proportional relationship?

Back

A proportional relationship is a relationship between two quantities where the ratio of one quantity to the other is constant.

Front

How do you determine if a graph represents a proportional relationship?

Back

A graph represents a proportional relationship if it passes through the origin (0,0) and forms a straight line.

Front

What is the formula for calculating the slope of a line?

Back

The slope (m) is calculated using the formula: m = (y2 - y1) / (x2 - x1).

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.

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.

Front

If a line has a slope of 0, what does that mean?

Back

A slope of 0 means the line is horizontal and there is no change in the y-value as the x-value changes.

Front

If a line has an undefined slope, what does that mean?

Back

An undefined slope means the line is vertical, and the x-value does not change as the y-value changes.

Front

Calculate the slope of the line that passes through the points (2,3) and (5,11).

Back

The slope is m = (11 - 3) / (5 - 2) = 8 / 3.

Front

What is the slope of the line represented by the equation y = 2x + 5?

Back

The slope of the line is 2.

Front

What is the slope of the line represented by the equation y = -rac{1}{2}x + 3?

Back

The slope of the line is -rac{1}{2}.