Flashcard 5 (parallel,perpendicular,correlation,direct variation)

Front

What is direct variation?

Back

Direct variation is a relationship between two variables where one variable is a constant multiple of the other. It can be expressed as y = kx, where k is a non-zero constant.

Front

What is the equation of a line that represents direct variation?

Back

The equation of a line that represents direct variation is y = kx, where k is the constant of variation.

Front

What ordered pair does a direct variation equation always go through?

Back

(0, 0)

Front

If y varies directly with x and y = 10 when x = 2, what is the value of y when x = 5?

Back

y = 25

Front

What does it mean for two lines to be parallel?

Back

Two lines are parallel if they have the same slope and will never intersect.

Front

What does it mean for two lines to be perpendicular?

Back

Two lines are perpendicular if the product of their slopes is -1.

Front

How do you find the slope of a line given two points (x1, y1) and (x2, y2)?

Back

The slope (m) is calculated as m = (y2 - y1) / (x2 - x1).

Front

What is correlation in statistics?

Back

Correlation measures the strength and direction of a linear relationship between two variables.

Front

What is a positive correlation?

Back

A positive correlation means that as one variable increases, the other variable also increases.

Front

What is a negative correlation?

Back

A negative correlation means that as one variable increases, the other variable decreases.