Writing Slope Intercept Form from Word Problems

Front

What is the slope-intercept form of a linear equation?

Back

The slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

Front

How do you identify the slope in a word problem?

Back

The slope represents the rate of change or how much y changes for each unit change in x.

Front

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

Back

The y-intercept represents the starting value or initial amount when x is zero.

Front

In the equation y = -5x + 50, what does -5 represent?

Back

-5 represents the rate at which Nick's vacation budget decreases per day.

Front

In the equation y = 5x + 3, what does 5 represent?

Back

5 represents the amount Nicole earns per hour of babysitting.

Front

How do you convert a word problem into slope-intercept form?

Back

Identify the initial value (y-intercept) and the rate of change (slope) from the problem.

Front

What is the significance of the negative slope in y = -12x + 75?

Back

A negative slope indicates that the value of y decreases as x increases.

Front

In the equation y = 5x + 20, what does 20 represent?

Back

20 represents the fixed cost of Chandler's monthly cell phone plan.

Front

What does the term 'fixed fee' mean in a word problem?

Back

A fixed fee is a constant amount that does not change regardless of the quantity of services provided.

Front

How can you determine the total cost from a word problem involving a variable rate?

Back

Add the fixed fee to the product of the variable rate and the number of units.