y=mx+b

Front

What does the equation y=mx+b represent?

Back

It represents the slope-intercept form of a linear equation, where m is the slope 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 steep the line is.

Front

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

Back

The y-intercept (b) is the value of y when x is 0, representing where the line crosses the y-axis.

Front

How do you find the value of y when x=0 in the equation y=mx+b?

Back

Substitute x=0 into the equation, resulting in y=b.

Front

If a car depreciates in value, how can this be modeled using y=mx+b?

Back

The depreciation can be modeled as y=-2000x+25000, where -2000 is the slope (decrease in value per year) and 25000 is the initial value.

Front

How do you calculate the value of an asset after a certain number of years using y=mx+b?

Back

Use the equation y=mx+b, where m is the rate of depreciation, x is the number of years, and b is the initial value.

Front

What is the equation to model a fixed service fee plus hourly charges?

Back

The equation is y=15x+40, where 15 is the hourly charge, x is the number of hours, and 40 is the service fee.

Front

How do you determine the total cost of a service based on time worked?

Back

Use the equation y=rate*x+fixed fee, where rate is the cost per hour, x is the number of hours worked, and fixed fee is any additional charge.

Front

What does the equation y=10x+115 represent in a real-world scenario?

Back

It represents the total cost Thomas has to pay for a speeding ticket, where 10 is the cost per mile over the limit and 115 is the court cost.

Front

How can you model a constant speed in a linear equation?

Back

Use the equation y=65x, where 65 is the speed in miles per hour and x is the time in hours.