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

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

How do you determine the y-intercept from a word problem?

Back

The y-intercept is the starting value or initial amount before any changes occur.

Front

Write the equation for a situation where a person starts with $100 and spends $20 per day.

Back

y = -20x + 100.

Front

Write the equation for a situation where a person has made 8 tacos and makes 3 more per minute.

Back

y = 3x + 8.

Front

What is the y-intercept in the equation y = 10x - 400?

Back

The y-intercept is -400.

Front

If a slope is negative, what does that indicate about the relationship between the variables?

Back

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

Front

Write the equation for a situation where a person owes $400 and earns $10 per hour babysitting.

Back

y = 10x - 400.

Front

How do you calculate the total after a certain number of hours if you know the rate per hour?

Back

Multiply the rate per hour by the number of hours and add to the initial amount.

Front

What does the equation y = mx + b represent in a graph?

Back

It represents a straight line where m is the slope and b is the y-intercept.