Slope Intercept 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 in the context of the problem, often described as 'per unit' (e.g., dollars per meal, miles per hour).

Front

What does the y-intercept represent in a word problem?

Back

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

Front

Write the equation for a problem where a person starts with $50 and spends $5 each week.

Back

y = -5x + 50.

Front

Write the equation for a problem where a car travels 60 miles per hour and starts with 0 miles.

Back

y = 60x.

Front

In the equation y = -20x + 100, what does -20 represent?

Back

-20 represents the rate at which the amount of money decreases per day.

Front

In the equation y = x + 18, what does x represent?

Back

x represents the number of months since the tree was bought.

Front

How do you convert a word problem into a linear equation?

Back

Identify the initial value, the rate of change, and use the slope-intercept form to write the equation.

Front

What is the significance of the initial value in a linear equation?

Back

The initial value indicates where the line crosses the y-axis, representing the starting point of the scenario.

Front

Write the equation for a problem where a person has 30 cookies and eats 2 cookies each day.

Back

y = -2x + 30.