Equations in Slope-Intercept Form 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 the dependent variable (y) changes for a unit change in the independent variable (x).

Front

What does the y-intercept represent in a real-world context?

Back

The y-intercept represents the initial value of the dependent variable when the independent variable (x) is zero.

Front

Write the equation for a situation where a person pays a $10 fee plus $2 per hour for a service.

Back

y = 2x + 10

Front

If a car rental service charges $15 per hour and a $30 initial fee, what is the equation in slope-intercept form?

Back

y = 15x + 30

Front

How do you identify the slope and y-intercept from the equation y = 4x + 12?

Back

The slope (m) is 4 and the y-intercept (b) is 12.

Front

Write the equation for a situation where a gym membership has a $25 signup fee and $10 monthly fee.

Back

y = 10x + 25

Front

What is the equation for a situation where a person has $200 and saves $50 each month?

Back

y = 50x + 200

Front

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

Back

The 3 represents the slope, indicating that for every increase of 1 in x, y increases by 3.

Front

Write the equation for a situation where a person has already made 5 cookies and can make 2 more every minute.

Back

y = 2x + 5