Non Proportional Linear Relationships

Front

What is a non-proportional linear relationship?

Back

A non-proportional 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). It has a y-intercept that is not zero.

Front

What is the general form of a linear equation?

Back

The general form of a linear equation is y = mx + b, where m is the slope and b is the y-intercept.

Front

What does the slope of a line represent?

Back

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

Front

How do you identify the y-intercept from a linear equation?

Back

The y-intercept can be identified as the value of y when x is 0 in the equation y = mx + b. It is represented by the value of b.

Front

What is the slope of the equation y = 3x + 5?

Back

The slope of the equation y = 3x + 5 is 3.

Front

What is the y-intercept of the equation y = -4x - 5?

Back

The y-intercept of the equation y = -4x - 5 is -5.

Front

What does a negative slope indicate about a linear relationship?

Back

A negative slope indicates that as x increases, y decreases, showing an inverse relationship between the two variables.

Front

If the equation is y = 2x + 4, what is the value of y when x = 10?

Back

When x = 10, y = 2(10) + 4 = 20 + 4 = 24.

Front

What is the equation for a situation where the cost is $4 plus $3 per child?

Back

The equation is y = 3x + 4, where y is the total cost and x is the number of children.

Front

How do you find the missing value in a table based on a linear equation?

Back

To find the missing value, substitute the known value of x into the equation and solve for y.