SOLUTION: what is x=2y+4. how do i graph it, in y=mx+b

Question 485731: what is x=2y+4. how do i graph it, in y=mx+b
Found 2 solutions by bucky, richard1234:
Answer by bucky(2189) (Show Source): You can put this solution on YOUR website!
I think what you want to know is if you are given the equation:
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how can you graph it and particularly what does the form y = mx + b have to do with graphing this equation.
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The form:
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is a useful form because it can help you to understand what the graph of an equation looks like. (It is called the slope-intercept form.) The value of the constant b tells you the value on the y-axis where the graph crosses (or intercepts)the y-axis. The value m (which is the multiplier of x) tells you the slope (or slant) of the line. The slope tells you for every 1 unit you move to the right in the horizontal x direction, how many units does the straight line graph move up or down in the y direction. If m has a positive value the graphed line moves upward as you move to the right, and if m has a negative value the graphed line moves downward as you move to the right.
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With this information, we can learn something about the graph of the equation that you were given. The equation is:
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But it is not in the form of . However, if we could get it into the form then we would know some information about the graph.
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To get it into the form, we need to rearrange the given equation so that it has only y on the left side and so the x term is on the right side along with the constant. THIS IS THE IMPORTANT THING TO UNDERSTAND. If we rearrange the given equation until it is in the form then we gain some valuable information about the graph.
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To rearrange the equation into the slope-intercept form we can start by moving the term containing the y to the left side of the equation. We do this by subtracting 2y from both sides of the given equation as follows:
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On the right side the 2y and the minus 2y cancel each other and we are left with:
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Next we move the x term to the right side by subtracting x from both sides as follows:
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On the left side the x and the minus x cancel each other out and we are left with:
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We're getting closer to having things in the slope-intercept form. Notice that in the slope-intercept form we need to have +y (written as just y) on the left side. But in our form we have -2y. So let's get just y on the left side by dividing the entire equation, both sides and every term, by -2 as follows:
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The division by -2 simplifies as follows:
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and results in:
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This is the rearranged form of the original equation that we are looking for because it can be compared directly term by term with the slope-intercept form of .
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Note that on the right side +b which is the constant term compares to +(-2)in our rearranged form. Since b is the y-axis intercept, we can now tell by inspection that the point -2 on the y-axis is where the graph crosses.
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Next, notice that (1/2) is the multiplier of x. Since the multiplier of x in the slope-intercept form tells you the slope, we can tell that the slope of the graph we have is 1/2. It is positive which means that it slants upward as we move toward the right on the graph. It also tells us that for every unit we move horizontally to the right, the graphed line will simultaneously move vertically up 1/2 unit.
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And our graph will look as follows:
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In particular, notice that the graph crosses the y-axis at -2. Also notice that as you move to the right along the x-axis, the graph rises 1/2 unit for each unit along the x-axis. So when you move from the origin 4 units to the right on the x-axis, the graph rises 4 times 1/2 or 2 units upward in the y-direction.
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Hope this helps you to understand the slope-intercept form and how it can assist you in graphing equations.

Answer by richard1234(7193) (Show Source): You can put this solution on YOUR website!
Just solve for y.

x = 2y + 4

x - 4 = 2y

y = (1/2)x - 2

Then graph it. Start at the y-intercept (0,-2) then for each unit increase in x, go up half a unit in y, and draw the corresponding line.
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