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, often described as 'per' something, such as dollars per hour or miles per dollar.

Front

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

Back

The y-intercept represents the starting value or fixed cost before any changes occur.

Front

In the equation y = 250x + 500, what does 250 represent?

Back

250 represents the commission earned per week.

Front

In the equation y = 50x + 25, what does 25 represent?

Back

25 represents the initial service charge for the plumber.

Front

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

Back

Identify the fixed cost (y-intercept) and the variable cost (slope), then write the equation in the form y = mx + b.

Front

What is the fixed fee in the lawyer's charging structure?

Back

The fixed fee is $250 for the initial meeting.

Front

If a taxi charges $1.50 per mile, how would you express this in slope-intercept form?

Back

The equation would be y = 1.50x + 3, where 3 is the flat rate.

Front

What does the variable 'x' typically represent in these equations?

Back

The variable 'x' usually represents the number of items or hours related to the cost.

Front

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

Back

Add the fixed cost to the product of the slope and the number of items or hours.