Determine the equation of a linear function that contains the points (-1.4) and (2.-5).

Madilyn Quinn 2022-10-17 Answered
Determine the equation of a linear function that contains the points (-1.4) and (2.-5).
You can still ask an expert for help

Expert Community at Your Service

  • Live experts 24/7
  • Questions are typically answered in as fast as 30 minutes
  • Personalized clear answers
Learn more

Solve your problem for the price of one coffee

  • Available 24/7
  • Math expert for every subject
  • Pay only if we can solve it
Ask Question

Answers (1)

rcampas4i
Answered 2022-10-18 Author has 22 answers
We know that the general form of the equation of a linear function is
f ( x ) = a x + b
Two points on the linear function are given
Given one point ( x , y ) = ( 1 , 4 ) x = 1 ,   y = 4
Put x = 1 and y = f ( x ) = 4 in
we get 4 = a ( 1 ) + b 4 = a + b b = a + 4
Another point is ( x , y ) = ( 2 , 5 ) x = 2 , y = 5
We get 5 = a ( 2 ) + b 5 = 2 a + b 5 = 2 a + a + 4 5 4 = 3 a 3 a = 9 a = 9 3 a = 3 b = 3 + 4 = 1 b = 1
Required equation of the linear function is f ( x ) = 3 x + 1
Did you like this example?
Subscribe for all access

Expert Community at Your Service

  • Live experts 24/7
  • Questions are typically answered in as fast as 30 minutes
  • Personalized clear answers
Learn more