SOLUTION: 2y=x+4 Graph

Question 126456: 2y=x+4 Graph
Found 2 solutions by bucky, JessicaGill:
Answer by bucky(2189) (Show Source): You can put this solution on YOUR website!
A quick way to graph this is to first set y equal to zero and solve for x. When you get that
answer for x, it will be on the x-axis because any point on the x-axis has zero for its
corresponding value of y.
.
Then you next set x equal to zero and solve for y. The value you get for y will be on the y-axis
because any point on the y-axis has zero as its corresponding x value.
.
You then have two points on the graph ... a point on the x-axis and a point on the y-axis. You
can then extend a straight line through these two points and you have the graph.
.
Let's do it. Start with the given equation 2y = x + 4
.
Set y = 0 and this equation becomes:
.
0 = x + 4
.
Solve for x by subtracting 4 from both sides to get:
.
-4 = x
.
Mark the point -4 on the x-axis.
.
Then set x = 0 and the equation you were given and the equation becomes:
.
2y = 0 + 4
.
Solve for y by dividing both sides by 2 to get:
.
y = +2
.
Mark the point +2 on the y-axis
.
Draw a straight line through these two points and you should have a graph that looks like this:
.

.
You should check at least one other point on the graph just to make sure that you didn't
make a mistake in calculating one of the points. For example, let's just choose x = +3
.
Substitute +4 for x in the given equation and it becomes:
.
2y = 4 + 4
.
Solve for y and you get
.
2y = 8
.
y = 8/2 = 4
.
So you have determined that when x = 4, then y = 4. Go to 4 on the x-axis, and go up 4 units
in the y direction to see if that point (4,4) is on the graph. It appears to be, so the graph
is likely to be correct. You can try a couple of other values for x if you would like and
see it the (x, y) points you get are also on the graph ... just to verify that your first
two points on the x and y-axes were correct.
.
Hope this helps you to understand the problem and how to work it.
.
Answer by JessicaGill(40) (Show Source): You can put this solution on YOUR website!
First, convert to the slope intercept formula as follows:
Isolate the y variable by dividing both sides of the equation by 2

Which leaves
Now the formula is in the slope-intercept form that can be used to graph 2 points and connect.
The first point to graph is the y intercept, (0,2).
Next we can take the slope and compute the next point.
From the y-intercept, we go up one unit, and then to the right 2 units, which brings us to (2,3)
Lable both points and connect.
See graph below

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