Equation of Line/Curve of Best Fit

Front

What is the standard form of a quadratic equation?

Back

The standard form of a quadratic equation is y = ax² + bx + c, where a, b, and c are constants.

Front

What does the coefficient 'a' represent in a quadratic equation?

Back

The coefficient 'a' determines the direction of the parabola (upward if a > 0, downward if a < 0) and affects the width of the parabola.

Front

What is the line of best fit?

Back

The line of best fit is a straight line that best represents the data on a scatter plot, minimizing the distance between the line and the data points.

Front

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

Back

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

Front

What is the y-intercept of a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, represented as (0, b) in the equation y = mx + b.

Front

What is the purpose of using a curve of best fit?

Back

A curve of best fit is used to model the relationship between variables when the data does not follow a linear pattern.

Front

What is the first step in using Desmos to find the curve of best fit?

Back

The first step is to enter the table/chart of values into Desmos.

Front

What does the term 'linear model' refer to?

Back

A linear model refers to a mathematical representation of a relationship between two variables that can be graphed as a straight line.

Front

How do you determine if a linear model is appropriate for a set of data?

Back

A linear model is appropriate if the data points show a roughly straight-line pattern when plotted on a graph.

Front

What is the formula for the equation of a line in slope-intercept form?

Back

The slope-intercept form of a line is y = mx + b, where m is the slope and b is the y-intercept.