Objectives 4-9 Review

Front

What does it mean when a system of equations has no solution?

Back

It means that the lines representing the equations are parallel and never intersect.

Front

What is the definition of a trend line in a scatter plot?

Back

A trend line is a straight line that best represents the data on a scatter plot, showing the general direction of the data points.

Front

How do you determine if an ordered pair is a solution to a system of equations?

Back

Substitute the ordered pair into both equations. If it satisfies both equations, it is a solution.

Front

What is the formula for calculating the slope between two points (x1, y1) and (x2, y2)?

Back

Slope (m) = (y2 - y1) / (x2 - x1).

Front

What does it mean when a system of equations has infinitely many solutions?

Back

It means that the equations represent the same line, and every point on the line is a solution.

Front

How can you graphically solve a system of equations?

Back

By plotting both equations on the same graph and identifying the point(s) where they intersect.

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, indicating the value of y when x=0.

Front

What is a scatter plot used for?

Back

A scatter plot is used to display the relationship between two quantitative variables.

Front

How do you interpret the slope of a line in a real-world context?

Back

The slope indicates the rate of change; for example, in a distance-time graph, it shows speed.

Front

What is the difference between a consistent and inconsistent system of equations?

Back

A consistent system has at least one solution, while an inconsistent system has no solutions.