Question

Complete the table of values for the equation, 16x + 4y = 12.

Answer 1

The x-y coordinates for the given equation are: (-2,11),(-1,7),(0,3), (1,-1) and (2,-5).

Linear Function

A linear function can be represented by a line. The standard form for this equation is: ax+b , for example, y=2x+7. Where:

• a= the slope;
• b=the constant term that represents the y-intercept.

The given equation is 16x + 4y = 12. For solving this question, you should replace the given values of x  for finding the values of y.

Thus,

• For x= -2,  the value of y will be:

       16*(-2)+4y=12

      -32+4y=12

      4y=12+32

     4y=44

      y=11

• For x= -1,  the value of y will be:

         16*(-1)+4y=12

• -16+4y=12
• 4y=12+16
• 4y=28
• y=7

• For x= 0,  the value of y will be:

         16*(0)+4y=12

• 0+4y=12
• 4y=12
• 4y=12
• y=3

• For x= 1,  the value of y will be:

         16*(1)+4y=12

• 16+4y=12
• 4y=12-16
• 4y=-4
• y= -1

• For x= 2,  the value of y will be:

         16*(2)+4y=12

• 32+4y=12
• 4y=12-32
• 4y=-20
• y= -5

Read more about the linear equation here:

brainly.com/question/1884491

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