139k views
0 votes
Write an equation for a function that gives thr value in the table. Use the equation to find the value of y when x= 12.

User Simsom
by
6.8k points

1 Answer

3 votes

the First, we figure out the equation of the line.


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

We pick point (8,27) as point 1 and (10,35) as point 2.

Therefore equation of line =


\begin{gathered} \frac{y-27_{}}{x-8_{}}=\frac{35-27_{}}{10-8_{}} \\ \frac{y-27_{}}{x-8_{}}=(8)/(2) \end{gathered}

Cross multiplying, we have

8x -64 = 2y - 54

Adding 54 to both sides, we have:

8x - 10 = 2y

Dividing both sides by 2, we have:

y = 4x -5

Next, we substitute the value of x with 12 to get:

y = 4(12) - 5

y = 48 - 5

y = 43

User Luiswill
by
7.0k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.