Question

given that a linear function contains the points (3,13.7) and (-6,-34). Determine the equation of the function. Write the equation using function notation.How would i solve this question

Answer 1

SOLUTIONS

Write the equation using function notation.

`\begin{gathered} x_1,y_1=(3,13.7) \\ x_2,y_2=(-6,-34) \end{gathered}`

Step 1: solve for the slope

`m=(y_2-y_1)/(x_2-x_1)=(-34-13.7)/(-6-3)=(-47.7)/(-9)=5.3`

Step 2: Then use the equation of two points to write the equation

at points

`x_2,y_2=(-6\text{ ,-34\rparen}`

`\begin{gathered} y-y_2=m(x-x_2) \\ y--34=5.3(x--6) \\ y+34=5.3(x+6) \\ y+34=5.3x+31.8 \\ y=5.3x+31.8-34 \\ y=5.3x-2.2 \end{gathered}`

Therefore the equation of the function is

`y=5.3x-2.2`