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 steepness of the line and the direction it goes. A positive slope means the line rises, while a negative slope means it falls.

Front

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

Back

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

Front

If a taxi service charges a $5 pick up fee plus $2 per mile, what is the initial value?

Back

$5 (the pick up fee).

Front

How would you model the cost of a speeding ticket that includes a $10 charge for each mile over the speed limit plus a $115 court cost?

Back

y=10x+115, where x is the number of miles over the speed limit.

Front

What is the equation for the cost of a pizza that costs $8.00 plus $0.50 for each additional topping?

Back

y=0.50x+8, where x is the number of additional toppings.

Front

If Valerie is traveling at a rate of 65 mph, how would you model her distance traveled over time?

Back

y=65x, where x is the time in hours.

Front

How much would Bob the plumber charge for 5 hours of work if he charges $15 per hour plus a $40 service fee?

Back

$115 (calculated as 15*5 + 40).

Front

What does the term 'linear equation' mean?

Back

A linear equation is an equation that makes a straight line when graphed, typically in the form y=mx+b.

Front

What is the significance of the slope in real-world applications?

Back

The slope can represent rates of change, such as speed, cost per item, or growth rates.