Wetzel

Math 101

3.2 – Graphing Linear Equations

 

Intercepts –

 

            x – intercept:     (x, 0)

 

            y – intercept:     (0 , y)

 

Ex.:      Find the intercepts.

 

1.)  2x – 5y = 10                                                          2.)  y = -⅓x + 2

 

 

 

 

 

Horizontal Lines –

 

 

 

 

Vertical Lines –

 

 

 

 

Application Problems –

 

            Jerry was ordered to perform 400 hours of community service as a reading tutor.  Jerry spends eight hours each Saturday teaching people to read.  The equation that tells the number of hours (y) that remain on the sentence after x Saturdays is y = 400 – 8x.

 

a.)    Find the y-intercept of this equation.  Explain what this intercept signifies.

 

 

b.)    Find the x-intercept of this equation.  Explain what this intercept signifies.

 

 

c.)    After 12 Saturdays, how many hours of community service does Jerry have remaining?