Nonproportional Linear Relationships

Front

What is a nonproportional linear relationship?

Back

A nonproportional linear relationship is a relationship between two variables that can be represented by a linear equation, but does not pass through the origin (0,0).

Front

What is the slope of the line represented by the equation y = -3x + 15?

Back

The slope is -3.

Front

How do you find the y-intercept of a linear equation?

Back

The y-intercept can be found by setting x = 0 in the equation and solving for y.

Front

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

Back

The y-intercept represents the starting value or initial condition of a situation before any changes occur.

Front

How do you graph the equation y = -3x + 15?

Back

Plot the point (0,15). Then go down 3 units and right 1 unit to plot the next point.

Front

What is the equation of a line with a slope of -2/3 and a y-intercept of 4?

Back

The equation is y = -2/3x + 4.

Front

What does a positive slope indicate about a linear relationship?

Back

A positive slope indicates that as one variable increases, the other variable also increases.

Front

What does a negative slope indicate about a linear relationship?

Back

A negative slope indicates that as one variable increases, the other variable decreases.

Front

How can you determine if a relationship is linear from a table of values?

Back

If the differences between the y-values are constant for equal differences in the x-values, the relationship is linear.

Front

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

Back

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