Algebra 7-5  Equations for Lines with a given point and slope.

 

 

In 1-5, find the equations of the line that have the given point and slope.

 

1.  slope = 4     point = (2, 3)                Equation: ___________________________

 

2.  slope = -2   point = (4, 9)                Equation: ___________________________

 

3.  slope = 2/3   point = (6, -3)              Equation: ___________________________

 

4.  slope = 0     point = (-4, 6)              Equation: ___________________________

 

5.  slope = -1/2   point = (-2, 3)              Equation: ___________________________

 

 

6.  If a line goes through the point (4, 7) but has an undefined

     slope (no slope), what is the equation of the line?                  _________________

 

 

7.  On a diet, Jim has been losing on average ½ a pound a day.  After 11 days, Jim weighs 284 pounds.

     Give the equation that describes Jim’s weight, y, after x days.

                                                                                                _____________________

 

8.  After 8 weeks, I have $200 in the bank.  I have been depositing $15 each week.  Give the equation

     that describes how much money, y, I have in the bank after x weeks.

                                                                                                                        ____________________

 

9.  A plumber charges a basic fee to come out and see what you need fixed.  After that basic fee, you must

     pay him $45 an hour.  After 5 hours, you will owe him $275.  How much was his basic fee?

 

                                                                                                                        ____________

 

10.  Without calculating anything, but simply thinking about it, figure out the equation of the line that

        has a slope of  2 and goes through the point (0, 5).

                                                                                                _______________