Question

Find the equation of the linear function represented by the table below in slope-intercept form.xy1-82-123-164-20

Answer 1

Given :

The table for y and x is given as

Explanation :

The slope-intercept form is determined as

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

First find the slope of the equation using the coordinates from the table.

`m=(-12-(-8))/(2-1)=(-12+8)/(1)=-4`

Now substitute the values in the slope-intercept form.

`\begin{gathered} y-(-8)=-4(x-1) \\ y+8=-4(x-1) \\ y=-4x+4-8 \\ y=-4x-4 \end{gathered}`

Answer:

Hence the equation of line is determined as

`y=-4x-4`