Question

Q8. Draw the graph for the linear equation 2x + 2y = 4​

Answer 1

Answer:

Answer by rmromero(383) About Me  (Show Source):

You can put this solution on YOUR website!

Graph 2x+2y=4 by plotting points.

To graph this equation we have to assume values of x.

Substitute the values of x to the equation to find y.

Then plot the points.

Draw a line.

Assume values of x.

     x          y

     -2         4

     0          2

     2          0

2x+2y=4, x = -2

2(-2) + 2y = 4    simplify

 -4 + 2y = 4

 

      2y = 4 + 4 add both sides by 4

      2y = 8     divide both sides by 2

       y = 4  

2x+2y=4 , x = 0

2(0) + 2y = 4

       2y = 4   divide both sides by 2

        y = 2  

2x+2y=4, x = 2

2(2) + 2y = 4

 4  + 2y = 4

      2y = 4 - 4

      2y = 0

       y = 0  

Plot the points (-2, 4), (0, 2), (2, 0)

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