Exam 4: Lines parabolas and Systems

Find the slope of the line passing through the points (5,-3)and (2,-1).

Determine whether the following lines are parallel,perpendicular or neither. 3x - 4y = 3 12x + 6y = 12

The price of computer technology has been dropping steadily for the past ten years.The price of a certain desktop PC has decreased by $650 per year during this time period.If this PC sold for $6770 ten years ago,what equation describes the cost C of the PC over the last ten years? Graph your equation on a graphing calculator.Can you predict the price of a desktop PC a few years into the future with this model?

Determine the equation of the line which is perpendicular to 2x - y + 3 = 0 and has y-intercept 6.

Find the slope of the line 3x + 9y - 7 = 0.

Find a general linear equation of the line that passes through point (1,-2)and has slope 3.

Graph the equation 5x + y + 8 = 0.

A botanist collected data from an experiment on the amount of oxygen released by a plant given different amounts of an experimental fertilizer.He graphs the data with grams of fertilizer given in a day on the x-axis and milliliters of oxygen produced in a day on the y-axis.His data points are: (1,0.02),(3,0.02),(5,0.02), (7,0.02).Find an equation for the line which fits this data and interpret its meaning.

Suppose f is a linear function with slope -3 and f(2)= 5.Find f(x).

Find the equation of a line which is perpendicular to the line 2x + 3y - 57 = 0 and passes through the point

Find the slope of the line passing through the points (3,9)and (2,-5).

The slope and y-intercept of the line 6x - 5y + 4 = 0 are

Graph the function y = f(x)= 3 - 2x - and indicate the coordinates of the vertex and intercepts.

The relationship between temperature on the Fahrenheit scale and the temperature on the Celsius scale is Find the slope and y-intercept of the equation.

Solve the following system of equations algebraically.(If the system does not have a solution,then say so or if it has more than one unique solution,then please describe the solutions.)

Solve the following system of equations algebraically.(If the system does not have a solution,then say so or if it has more than one unique solution,then please describe the solutions.)

Solve the following system algebraically:

A business woman has $300,000 of profits from her office supply company invested in two investments.One has a yearly return of 6% and the other has a yearly return of 7%.If the total yearly income from the investments is $19,300,how much is invested at each rate?

Suppose f(0)= 4 and f(3)= 8.Find f(12)if f is a linear function.

Find the equation of a line which is parallel to the line x = 0.521 and passes through the point (0.1,-7).