Warm Up 12/02-Linear Inequalities and Regression

Front

What is the definition of a linear inequality?

Back

A linear inequality is a mathematical statement that relates a linear expression to a value using inequality symbols (such as <, >, ≤, or ≥). It represents a region of the coordinate plane.

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 does a slope of 0 indicate about a line?

Back

A slope of 0 indicates that the line is horizontal, meaning there is no change in the y-value as the x-value changes.

Front

What does it mean if a slope is undefined?

Back

An undefined slope occurs when a line is vertical, indicating that there is no change in the x-value as the y-value changes.

Front

What is the purpose of a line of best fit in a scatter plot?

Back

A line of best fit is used to represent the trend in the data points of a scatter plot, helping to visualize the relationship between the variables.

Front

What does a strong positive correlation indicate in a graph?

Back

A strong positive correlation indicates that as one variable increases, the other variable also tends to increase.

Front

What does a strong negative correlation indicate in a graph?

Back

A strong negative correlation indicates that as one variable increases, the other variable tends to decrease.

Front

What does 'no correlation' mean in the context of a graph?

Back

No correlation means that there is no discernible relationship between the two variables represented in the graph.

Front

How can you identify the correct graph for a linear inequality?

Back

To identify the correct graph for a linear inequality, determine the boundary line (solid for ≤ or ≥, dashed for < or >) and shade the appropriate region based on the inequality.

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.