SOLUTION: Graph each of the following equations, using the intercept method. 2x+3y=6

Question 109130: Graph each of the following equations, using the intercept method.
2x+3y=6

Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!

Start with the given equation

Let's find the x-intercept

To find the x-intercept, let y=0 and solve for x:
Plug in

Simplify

Divide both sides by 2

Reduce

So the x-intercept is (,0) (note: the x-intercept will always have a y-coordinate equal to zero)

------------------

Start with the given equation

Now let's find the y-intercept

To find the y-intercept, let x=0 and solve for y:
Plug in

Simplify

Divide both sides by 3

Reduce

So the y-intercept is (0,) (note: the y-intercept will always have a x-coordinate equal to zero)

------------------------------------------

So we have these intercepts:
x-intercept: (,0)

y-intercept: (0,)

Now plot the two points (,0) and (0,)

Now draw a line through the two points to graph
graph of through the points (,0) and (0,)

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