Slope Intercept Form Applications

Front

What is the Slope-Intercept Form of a linear equation?

Back

The Slope-Intercept Form is given by the equation y = mx + b, where m is the slope and b is the y-intercept.

Front

What does the slope (m) represent in a linear equation?

Back

The slope (m) represents the rate of change of y with respect to x, indicating how steep the line is.

Front

What does the y-intercept (b) represent in a linear equation?

Back

The y-intercept (b) represents the value of y when x is 0, indicating where the line crosses the y-axis.

Front

How do you find the slope from two points (x1, y1) and (x2, y2)?

Back

The slope (m) can be calculated using the formula m = (y2 - y1) / (x2 - x1).

Front

In the equation c = 25.5 + 8.5h, what does 25.5 represent?

Back

In this equation, 25.5 represents the fixed rental fee charged by Easy Car Rental.

Front

In the equation t = 7h + 20, what does 7 represent?

Back

In this equation, 7 represents the hourly wage Jerry earns.

Front

What is the significance of the y-intercept in real-world applications?

Back

The y-intercept often represents a starting value or fixed cost in real-world scenarios.

Front

If a pizza costs $4 and each topping costs $0.50, what is the slope of the cost function?

Back

The slope of the cost function is $0.50, representing the cost per additional topping.

Front

How can you interpret the slope in a real-world context?

Back

The slope indicates how much the dependent variable (y) changes for each unit increase in the independent variable (x).

Front

What is the relationship between the slope and the steepness of a line?

Back

A larger absolute value of the slope indicates a steeper line, while a slope of 0 indicates a horizontal line.