MATH SOLVE

4 months ago

Q:
# 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

Accepted Solution

A:

Answer:The equation of the line is [tex]y+2x=4[/tex]Step-by-step explanation:The table shown below is : [tex]\left[\begin{array}{ccc}x&y\\-1&6\\0&4\\1&2\end{array}\right][/tex]thus , to find the equation of the line ,we use the formula :[tex]\frac{y-y_{1} }{x-x_{1} } = \frac{y_{2} - y_{3} }{x_{2} -x_{3} }[/tex]where,[tex]x[/tex] and [tex]y[/tex] are the variables.[tex]x_{1} =-1 ; y_{1} = 6; \\x_{2}=0; y_{2} = 4;\\ x_{3}=1 ; y_{3} = 2 ;[/tex]substituting the values in the equation, we get ,[tex]\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[/tex]∴ The equation of the line is [tex]y+2x=4[/tex]