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, like per mile or per hour.

Front

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

Back

The y-intercept represents the starting value or initial amount before any changes occur.

Front

In the equation y = 1.50x + 3, what does 1.50 represent?

Back

1.50 represents the cost per mile charged by the taxi.

Front

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

Back

500 represents the hiring bonus received by the sales associate.

Front

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

Back

-5 represents the amount of money Nick spends each day on vacation.

Front

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

Back

50 represents the hourly charge of the plumber for service.

Front

In the equation y = -12x + 75, what does 75 represent?

Back

75 represents the total acres of wheat available for harvest.

Front

What is the first step in writing a slope-intercept equation from a word problem?

Back

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

Front

How can you convert a word problem into a slope-intercept equation?

Back

Extract the initial amount and the rate of change, then plug them into the slope-intercept form y = mx + b.