Question 115773: graph the equation
2x+6=0
Answer by bucky(2189)   (Show Source):
You can put this solution on YOUR website! Begin by solving the given equation for x. The first step is to get rid of the +6 on the left
side by subtracting 6 from both sides. When you do this subtraction the equation becomes:
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2x = -6
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Then solve for x by dividing both sides of this equation by 2 because 2 is the multiplier of x.
When you do this division the equation is reduced to:
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x = -6/2 = -3
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The question now is, "How do you graph x = -3?" One way to look at this is that x is always
equal to -3 no matter what value y is because y doesn't even appear in the equation. Therefore,
you can say things such as when y = 0, x = -3, when y = -10, x = -3, when y = +8, x = -3
and so on. If you plot these points ... (-3, 0), (-3, -10), (-3, +8) you will begin to
get the idea that on a coordinate system the graph of x = -3 is a vertical line that goes
through the point -3 on the x-axis.
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Your graph should look like this (the graph is the vertical line in light red):
.
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Hope this helps. Be aware that the graph of any equation of the form x = A where A is a constant
is a vertical line through the point A on the x-axis.
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