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

Answer:

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

Step-by-step 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 :

$\frac{y-y_{1} }{x-x_{1} }  = \frac{y_{2} - y_{3}  }{x_{2} -x_{3} }$

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 ,

$\frac{y-6}{x-(-1)}  = \frac{4-2}{0-1} \\\frac{y-6}{x+1} = \frac{2}{-1} \\y-6=-2*(x+1)\\y-6= -2x-2\\y+2x=4$

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