117k views
3 votes
Write a linear function F with the values F(-9)=8 and F (0) =1

User Guru Stron
by
8.1k points

1 Answer

1 vote

Given:

The values of a linear function are
F(-9)=8 and
F(0)=1.

To find:

The linear function.

Solution:

If a linear function passes through two points, then the equation of the linear function is:


y-y_1=(y_2-y_1)/(x_2-x_1)(x-x_1)

The values of a linear function are
F(-9)=8 and
F(0)=1. It means the function passes through the points (-9,8) and (0,1). So, the equation of the linear function is:


y-8=(1-8)/(0-(-9))(x-(-9))


y-8=(-7)/(9)(x+9)


y-8=(-7)/(9)(x)+(-7)/(9)(9)


y-8=(-7)/(9)x-7

Adding 8 on both sides, we get


y-8+8=(-7)/(9)x-7+8


y=(-7)/(9)x+1

Putting
y=F(x), we get


F(x)=(-7)/(9)x+1

Therefore, the required linear function is
F(x)=(-7)/(9)x+1.

User Merlin Mason
by
8.3k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories