Question

What is the equation of the line from the table shown? x -1 0 1 y 6 4 2 Question 3 options: y = 2x + 2 y = 1/2 x + 2 y = 1/2 x + 4 y = 2x + 4

Answer 1

The equation of the line is
`y+2x=4`

Explanation:

The table shown below is :

`\left[\begin{array}{ccc}x&y\\-1&6\\0&4\\1&2\end{array}\right]`

thus , to find the equation of the line ,

we use the formula :

`(y-y_(1) )/(x-x_(1) )  = (y_(2) - y_(3)  )/(x_(2) -x_(3) )`

where,

`x` and
`y` are the variables.

`x_(1) =-1  ;  y_(1) = 6; \\x_(2)=0; y_(2) = 4;\\ x_(3)=1 ; y_(3) = 2 ;`

substituting the values in the equation, we get ,

`(y-6)/(x-(-1))  = (4-2)/(0-1) \\(y-6)/(x+1) = (2)/(-1) \\y-6=-2*(x+1)\\y-6= -2x-2\\y+2x=4`

∴ The equation of the line is
`y+2x=4`