write the solution for the equation 2x+y=7
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2x+y=7 is given, so if we isolate a variable y would be easier since there is only 1. You must subtract both sides by 2x in order for y to be alone. Here is the math:
2x-2x+y=7-2x
y=7-2x or y= -2x+7
This is telling you that if the equation matches the table, f(x) [which is the same as y] should equal the corresponding x value multiplied by -2 and then adding 7 to the product found. Let's use the first coordinates to illustrate this (-4, -1):
y= -2x+7
-1= -2• -4+7
-1= 8+7
-1=15
-1≠15
As you can see, the math shows that y should be 15 if the x coordinate is -4 for the equation y= -2x+7. So the equation does not reflect the table.
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