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 dollars per hour.

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 variable changes occur.

Front

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

Back

In this equation, '5' is the slope, indicating that for each additional hour, the cost increases by $5.

Front

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

Back

In this equation, '3' is the flat fee charged before any miles are driven.

Front

How would you write the equation for a babysitting service that charges $3 plus $5 per hour?

Back

The equation is y = 5x + 3.

Front

What is the significance of the flat fee in a linear equation?

Back

The flat fee is the initial value or y-intercept, representing the cost before any additional charges.

Front

If a taxi charges $1.50 per mile after a $3 base fare, how would you express this in slope-intercept form?

Back

The equation is y = 1.50x + 3.

Front

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

Back

The variable 'x' usually represents the number of units or hours, such as hours worked or miles driven.

Front

How do you determine the total cost from a linear equation?

Back

Substitute the value of 'x' into the equation to find the total cost 'y'.