Linear Relationships Assessment Review

Front

What does the y-intercept of a graph represent in a real-world context?

Back

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

Front

What does the slope of a line indicate in a linear relationship?

Back

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

Front

Back

'm' represents the slope of the line, and 'b' represents the y-intercept.

Front

How do you find the slope from a graph?

Back

The slope can be found by selecting two points on the line and using the formula: slope = (change in y) / (change in x).

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

What is the significance of the y-intercept in a real-world scenario?

Back

The y-intercept often represents the initial condition or starting point of a situation being modeled.

Front

How can you determine if a system of equations has no solution?

Back

A system of equations has no solution if the lines represented by the equations are parallel and never intersect.

Front

What does it mean if two lines intersect at a point in a graph?

Back

If two lines intersect at a point, it means that the system of equations has a unique solution at that point.

Front

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

Back

The formula is: slope = (y2 - y1) / (x2 - x1).