Represent Equations (y = mx + b)

Front

What does the equation y = mx + b represent?

Back

It represents a linear equation where y is the dependent variable, m is the slope, x is the independent variable, and b is the y-intercept.

Front

What is the slope in the equation y = mx + b?

Back

The slope (m) indicates the rate of change of y with respect to x, showing how much y increases or decreases as x increases by 1.

Front

What is the y-intercept in the equation y = mx + b?

Back

The y-intercept (b) is the value of y when x is 0, representing the starting point of the line on the y-axis.

Front

How do you find the total amount of money after spending a fixed amount each month?

Back

Use the equation y = -mx + b, where m is the amount spent each month, and b is the initial amount.

Front

If Sandra has a $20 iTunes gift card and spends $3 each month, what is the equation to find her remaining balance after x months?

Back

y = -3x + 20.

Front

What is the equation for the total cost of renting a paddle boat if there is a deposit fee and a cost per hour?

Back

y = 2x + 15, where y is the total cost, x is the number of hours, and 15 is the deposit fee.

Front

How do you represent total earnings after working a certain number of hours?

Back

Use the equation y = mx + b, where m is the hourly wage, and b is the initial amount of money.

Front

If Jerry has $20 and earns $7 per hour, what is the equation for his total money after x hours?

Back

y = 7x + 20.

Front

What equation represents the amount in Bob's savings account after saving a fixed amount each month?

Back

y = 40x + 150, where 150 is the initial amount and 40 is the amount saved each month.

Front

How do you calculate the remaining balance in an account after daily spending?

Back

Use the equation y = -mx + b, where m is the daily spending amount, and b is the initial balance.