f ( x ) is a linear function. f ( 6 ) = − 1 and f ( 12 ) = 1 , Find the linear function. How do I find the y value and slope?

Question

f ( x ) is a linear function. f ( 6 ) = − 1 and f ( 12 ) = 1 , Find the linear function. How do I find the y value and slope?

Answer 1

(-1,6) and (12,1) are two points on the line

difference in y coordinates over difference in x coordinates = slope = m = "rise over run" = 5/-13=-5/13

y=mx + b

y=-5/13 + b

6 = -5/13)(-1) + b

b = 6-5/13= 73/13

y=-(5/13)x + 73/13 or'

f(x) =-(5/13)x + 73/13 or

13y =-5x + 73

5x+13y = 73