SOLUTION: Please show me how ones like this are done? Graph 2x – y = 4. Do I need to solve this first?

Algebra ->  Graphs -> SOLUTION: Please show me how ones like this are done? Graph 2x – y = 4. Do I need to solve this first?      Log On


   



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) About Me  (Show Source):
You can put this solution on YOUR website!
2x-y=4 Start with the given equation

-y=4-2x Subtract 2x from both sides

y=%284-2x%29%2F-1 Divide both sides by -1

y=2x-4 Break up the fraction and rearrange the terms so the x term is first. Now it is in y=mx%2Bb form where m=2 and b=-4. So to graph this line, lets plug in point x=2 (any x value will work)

Let x=2
y=2%282%29-4 Plug in x=2

y=4-4 Multiply

y=0 Subtract
So we have a point (2,0)
Here is the point (2,0) plotted on a coordinate system

Let x=3
y=2%283%29-4 Plug in x=3

y=6-4 Multiply

y=2 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 y=2x-4 with the points (2,0) and (3,2)

Another way we could graph y=2x-4 is to start with the y-intercept. We know that since b=-4 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 m=2, which is really m=2%2F1, 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 y=2x-4 with the points (0,-4) and (1,-2)