1.     In class you were asked to define a function of the form y = mx + b so that its graph passes through the point (3,7) with a rate of change of 2.5. This figure shows one function that does this.

a)   What does 2.5 stand for in this figure?

 

 

 

 

 

b)  What does -3 stand for in this figure?

 

 

 

 

 

c)   What does 2.5(-3) stand for in this figure?

 

 

 

 

 

 

d)  What does (7 + 2.5(-3)) stand for in this figure?

 

 

 

 

 

 

 

e)   What does 2.5x + (7 + 2.5(-3)) stand for in this figure?

2.     Do the following for each of a-e. On Monday you will check your answers on your computer.

 

Define a function in the form y = mx + b so that its graph passes through

a)   The point (5,2) with a rate of change of 7.

 

 

 

 

 

 

b)  The point (-3, 4) with a rate of change of -2.

 

 

 

 

 

 

c)   The point (2.73,-5.15) with a rate of change of 7.26

 

 

 

 

 

 

d)  The point (-4.1,-6.8) with a rate of change of 8.6

 

 

 

 

 

 

 

e)   The point (-2,-1) with a rate of change of -4.2