Slope Intercept Form Applications

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

What does the slope represent in a real-world context?

Back

The slope represents the rate of change or how much one quantity changes in relation to another.

Front

In the equation y = 15x + 20, what does the 15 represent?

Back

The 15 represents the slope, indicating that for every hour worked, the earnings increase by $15.

Front

In the equation y = 3x + 8, what does the 8 represent?

Back

The 8 represents the y-intercept, indicating the initial number of tacos made before any additional tacos are produced.

Front

How do you identify the slope from a word problem?

Back

Look for the rate of change or the amount that one quantity increases or decreases per unit of another quantity.

Front

What is the y-intercept in the context of a job that pays $15 per hour and starts with $20?

Back

The y-intercept is $20, representing the initial amount before any hours are worked.

Front

Write the equation for a savings account with an initial amount of $150 and a monthly saving of $40.

Back

y = 40x + 150.

Front

Identify the slope in the equation y = 35x + 99.

Back

The slope is $35, representing the monthly fee after the initial registration fee.

Front

What does it mean if the slope is positive in a linear equation?

Back

A positive slope indicates that as one variable increases, the other variable also increases.

Front

What does it mean if the slope is negative in a linear equation?

Back

A negative slope indicates that as one variable increases, the other variable decreases.