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 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 where the line crosses the y-axis.

Front

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

Back

Substitute the value of x into the equation and solve for y.

Front

If a car depreciates at a rate of $2000 per year, what is the equation for its value after x years?

Back

y=-2000x+25000.

Front

If a student enrollment increases by 225 students each year, how can this be modeled?

Back

y=225x + 11000, where x is the number of years.

Front

What does the term 'initial value' refer to in a linear function?

Back

The initial value is the y-intercept (b) in the equation y=mx+b, representing the starting point of the function.

Front

How do you model a situation where a plumber charges $15 per hour plus a service fee?

Back

The equation is y=15x+40, where x is the number of hours worked.

Front

What is the total cost for a speeding ticket if the cost is $10 per mph over the limit plus a $115 court cost?

Back

The equation is y=10x+115, where x is the number of mph over the limit.

Front

What is the initial fee for Ted's Taxi service?

Back

The initial fee is $5, which is the y-intercept in the equation y=2x+5.