Checkpoint Flashcard 10

Front

What is the slope-intercept form of a linear equation?

Back

The slope-intercept form is given by the equation y = mx + b, where m is the slope and b is the y-intercept.

Front

What does the slope of a line represent?

Back

The slope represents the rate of change of y with respect to x, indicating how steep the line is.

Front

If the slope of a line is positive, what does that indicate about the line's direction?

Back

A positive slope indicates that the line rises from left to right.

Front

What is the meaning of a negative slope?

Back

A negative slope indicates that the line falls from left to right.

Front

What is the formula for calculating the coefficient of variation (COV)?

Back

COV = (Standard Deviation / Mean) x 100%.

Front

How do you interpret a COV of 1/2?

Back

A COV of 1/2 indicates that the standard deviation is half of the mean, suggesting low variability relative to the mean.

Front

What does a COV of -3 indicate?

Back

A COV of -3 indicates a negative relationship between the variables, suggesting that as one variable increases, the other decreases.

Front

What is the significance of the y-intercept in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, representing the value of y when x is 0.

Front

How do you find the y-intercept from the equation y = 5/4x?

Back

The y-intercept is 0, as there is no constant term added to the equation.

Front

What is the relationship between the coefficients in a linear equation and the graph of the line?

Back

The coefficients determine the slope and position of the line on the graph.