Equations for Lines of Best Fit

Front

What is the equation of the line of best fit?

Back

Front

How do you find the slope of a line using two points?

Back

The slope (m) of a line through two points (x1, y1) and (x2, y2) is calculated using the formula: m = (y2 - y1) / (x2 - x1).

Front

What does a negative correlation in a scatter plot indicate?

Back

A negative correlation indicates that as one variable increases, the other variable decreases. For example, as x increases, y decreases.

Front

What is the slope of the line that passes through the points (2,2) and (4,3)?

Back

Front

What is the general form of a linear equation?

Back

Front

What does the y-intercept represent 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 = 0.

Front

How can you determine the line of best fit from a scatter plot?

Back

The line of best fit can be determined by plotting the data points and drawing a line that minimizes the distance between the line and all points.

Front

What is the equation of the line of best fit if the slope is -1/2 and the y-intercept is 6?

Back

Front

What does the slope of a line indicate in a real-world context?

Back

The slope indicates the rate of change between the two variables represented in the scatter plot.

Front

If the slope of a line is negative, what does that imply about the relationship between the variables?

Back

A negative slope implies that there is an inverse relationship between the variables; as one increases, the other decreases.