Linear Equations

Front

What is a linear equation?

Back

A linear equation is an equation that makes a straight line when graphed. It can be written in the form y = mx + b, where m is the slope and b is the y-intercept.

Front

What does the slope (m) represent in a linear equation?

Back

The slope (m) represents the rate of change of the dependent variable (y) with respect to the independent variable (x). It indicates how steep the line is.

Front

What is the y-intercept (b) in a linear equation?

Back

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

Front

Write the equation for a cell phone bill that charges a flat fee of $15 plus $0.20 per minute of usage.

Back

C = 15 + 0.20x

Front

Write the equation for a towing service that charges a flat fee of $50 plus $8 per mile.

Back

C = 8m + 50

Front

If a fitness club starts with 80 members and gains 15 members each month, what is the equation for total membership after x months?

Back

y = 15x + 80

Front

Write the equation for a plumbing service that charges $15 per hour plus a $40 service fee.

Back

y = 15x + 40

Front

How do you calculate the total cost for a plumber who charges $50 for a house call and $25 per hour for labor?

Back

Total Cost = 50 + 25h, where h is the number of hours worked.

Front

If a plumber works for 2.5 hours, how much would the total cost be?

Back

Total Cost = 50 + 25(2.5) = $112.50

Front

What is the general form of a linear equation?

Back

The general form of a linear equation is Ax + By = C, where A, B, and C are constants.