Linear Relationships Review

Front

What is a linear relationship?

Back

Front

What does the slope of a line represent?

Back

The slope of a line represents the rate of change of the dependent variable (y) with respect to the independent variable (x). It indicates how much y changes for a unit change in x.

Front

What is the y-intercept of a linear equation?

Back

Front

How do you find the slope from two points?

Back

Front

What does a positive slope indicate?

Back

A positive slope indicates that as the independent variable (x) increases, the dependent variable (y) also increases. The line rises from left to right.

Front

What does a negative slope indicate?

Back

A negative slope indicates that as the independent variable (x) increases, the dependent variable (y) decreases. The line falls from left to right.

Front

What is the equation of a line with a slope of 2 and a y-intercept of 3?

Back

Front

How do you determine the y-intercept from a graph?

Back

To determine the y-intercept from a graph, locate the point where the line crosses the y-axis. The y-coordinate of this point is the y-intercept.

Front

Back

The vertical intercept (y-intercept) is 4.

Front

What does the vertical intercept mean in a real-world context?

Back

The vertical intercept represents the starting value of the dependent variable when the independent variable is zero. For example, in a cost equation, it could represent a fixed fee.