Question 82970: Please show me how ones like this are done?
Graph 2x – y = 4.
Do I need to solve this first?
Answer by jim_thompson5910(35256) (Show Source):
You can put this solution on YOUR website! Start with the given equation
Subtract 2x from both sides
Divide both sides by -1
Break up the fraction and rearrange the terms so the x term is first. Now it is in form where and . So to graph this line, lets plug in point x=2 (any x value will work)
Let x=2
Plug in x=2
Multiply
Subtract
So we have a point (2,0)
Here is the point (2,0) plotted on a coordinate system
Let x=3
Plug in x=3
Multiply
Subtract
So we have a point (3,2). Add this to our graph
Here are the points (2,0) and (3,2) plotted on a coordinate system
Now draw a straight line through these points
Graph of with the points (2,0) and (3,2)
Another way we could graph is to start with the y-intercept. We know that since this means the y-intercept is (0,-4). So we have one point (0,-4)
Here is the point (0,-4) plotted on a coordinate system
Now since the slope is , which is really , it tells us that the next point can be found if we go 2 units up and one unit to the left to find our next point (1,-2)
So we have another point (1,-2)
Here are the points (0,-4) and (1,-2) plotted on a coordinate system
Now to make the line, just draw a straight line through the points
Graph of with the points (0,-4) and (1,-2)
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