Linear Relationships Assessment Review

Front

What does the y-intercept represent in a linear graph?

Back

The y-intercept represents the initial value of the dependent variable when the independent variable is zero.

Front

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

Back

It means that the two lines are the same line.

Front

What does the slope of a linear graph represent?

Back

The slope represents the rate of change of the dependent variable with respect to the independent variable.

Front

How can you determine if a point is a solution to a system of equations?

Back

Substitute the x and y values of the point into both equations. If both equations are satisfied, the point is a solution.

Front

What does it mean if two lines are parallel in a linear relationship?

Back

It means they have the same slope but different y-intercepts, and they will never intersect.

Front

What is the formula for the slope of a line given two points (x1, y1) and (x2, y2)?

Back

The slope (m) is calculated as m = (y2 - y1) / (x2 - x1).

Front

What does a positive slope indicate about a linear relationship?

Back

A positive slope indicates that as the independent variable increases, the dependent variable also increases.

Front

What does a negative slope indicate about a linear relationship?

Back

A negative slope indicates that as the independent variable increases, the dependent variable decreases.

Front

In the equation of a line, what does the term 'b' represent in y = mx + b?

Back

The term 'b' represents the y-intercept of the line.

Front

What is the significance of the x-intercept in a linear graph?

Back

The x-intercept is the point where the graph crosses the x-axis, indicating the value of the independent variable when the dependent variable is zero.