Real World Word Problems with Linear Equations

Front

What does the y-intercept represent in the equation y = -35x + 5450?

Back

Raegan started her trip down the mountain at 5,450 feet.

Front

In the context of Jacob's pizza delivery job, what do x and y represent in the equation y = 25 + 3x?

Back

X: Number of Pizzas, Y: Total Money Made.

Front

What does the slope represent in the equation y = 10x + 20 for horseback riding?

Back

It cost $10 per hour to ride a horse.

Front

Write a linear equation to represent Amanda's lunch calories if she had a hamburger totaling 325 calories and each chip had 12 calories.

Back

y = 12x + 325.

Front

What does the slope represent in the equation y = -35x + 5450?

Back

Raegan is driving down the mountain at 35 feet per minute.

Front

What is a linear equation?

Back

An equation that models a relationship between two variables with a constant rate of change.

Front

What is the general form of a linear equation?

Back

y = mx + b, where m is the slope and b is the y-intercept.

Front

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

Back

The rate of change of y with respect to x.

Front

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

Back

The value of y when x is 0.

Front

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

Back

m = (y2 - y1) / (x2 - x1).