Modeling Linear Equations

Front

What is a linear equation?

Back

A linear equation is an equation that models 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 does the y-intercept (b) represent 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 the total cost (c) of renting a golf club and hitting b buckets of golf balls, given the costs are $4 and $2.75 per bucket.

Back

c = 2.75b + 4

Front

If d = 125 + 80n, what does the number 125 represent?

Back

The number 125 represents the initial amount of money in the register before any tickets are sold.

Front

Write the equation representing Penelope's total spending at the carnival if she spends $35, with a $20 entry fee and $0.50 per ride ticket.

Back

0.50x + 20 = 35

Front

What is the total cost equation for an electrician charging $90 per hour plus a $50 travelling fee?

Back

y = 90x + 50

Front

Write the linear equation for the startup cost to join eTunes music, which is $7.95 plus $0.95 per song downloaded.

Back

y = 0.95x + 7.95

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.

Front

How do you find the x-intercept of a linear equation?

Back

To find the x-intercept, set y = 0 in the equation and solve for x.