Math 8 - Review 4.5 - 5.2 Writing Linear Equations

Front

What is a proportional relationship?

Back

A proportional relationship is one in which two quantities maintain a constant ratio. If one quantity increases, the other increases at a consistent rate.

Front

What is a non-proportional relationship?

Back

A non-proportional relationship is one where the ratio between two quantities is not constant. Changes in one quantity do not result in consistent changes in the other.

Front

How can you determine if a relationship is proportional or non-proportional?

Back

Check if the ratio between the two quantities remains constant. If it does, the relationship is proportional; if it doesn't, it is non-proportional.

Front

What does the equation y = mx + b represent?

Back

This is the slope-intercept form of a linear equation, where 'm' is the slope and 'b' is the y-intercept.

Front

What is the slope in a linear equation?

Back

The slope represents the rate of change of the dependent variable (y) with respect to the independent variable (x). It indicates how steep the line is.

Front

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

Back

The y-intercept is the value of y when x is zero. It represents the starting point of the line on the y-axis.

Front

Write the equation for a situation where a baby gains 2 pounds each month, starting from 0 pounds.

Back

y = 2x, where y is the weight and x is the number of months.

Front

If a library has 8000 books and adds 500 each year, what type of relationship is this?

Back

Non-proportional, because the total number of books does not start from zero.

Front

What is the equation for Freda's food consumption if she starts with 145 lbs and eats 15 lbs per day?

Back

y = -15x + 145, where y is the amount of food left and x is the number of days.

Front

How do you identify a linear function from a table of values?

Back

Check if the differences between consecutive y-values are constant for equal intervals of x.