Question

Find the equation of the linear function represented by the table below in slope-intercept form.xy112-13-34-5

Answer 1

Given:

Two points

`(1,1)\text{ and (2,-1)}`

To find: The equation of the linear function

Step-by-step explanation:

Using the two-point formula,

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

Here,

`\begin{gathered} x_1=1 \\ y_1=1 \\ x_2=2 \\ y_2=-1 \end{gathered}`

Substituting we get,

`\begin{gathered} (y-1)/(-1-1)=(x-1)/(2-1) \\ (y-1)/(-2)=(x-1)/(1) \\ y-1=-2(x-1) \\ y=-2x+2+1 \\ y=-2x+3 \end{gathered}`

Final answer: The equation of the linear function is,

`y=-2x+3`