write an equation that describes the function.

Question

10,-5

 

 12, -6

 

14, -7

 

16, -8

Answer 1

For each 2 unit increase in x, y decreases by 1.  So, the relationship between x and y is linear.

 

For example, (10, -5) and (12, -6) are both points on the line.

 

slope = (-6-(-5))/(12-10) = -1/2

 

Using the point-slope form, an equation of the line is:

 

  y - (-5) = (-1/2)(x - 10)

  

 y + 5 = (-1/2)(x - 10)

 

 y + 5 = (-1/2)x + 5

 

 y = (-1/2)x