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A line is defined by the equation 2x+y=4. Which shows the graph of this line?

A line is defined by the equation 2x+y=4. Which shows the graph of this line?-example-1
A line is defined by the equation 2x+y=4. Which shows the graph of this line?-example-1
A line is defined by the equation 2x+y=4. Which shows the graph of this line?-example-2
User Harvinder
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The correct graph would be the third option.


This is because we can rearrange the equation 2x + y = 4 into the form y = mx + c by subtracting 2x, giving us y = -2x + 4.


This then tells us that the y-intercept must be at 4, and the slope must be -2. The first option and the third option are the only graphs with an intercept at 4, but the first option has a positive slope and the third option has a negative slope, so that is the answer.


I hope this helps!

User Namrata
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