SOLUTION: graph equation using intercept method 2x+3y=6 2x-3y=12

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Question 119695: graph equation using intercept method

2x+3y=6 2x-3y=12
Answer by jim_thompson5910(35256) (Show Source):
You can put this solution on YOUR website!
#1

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

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

So we have these intercepts:
x-intercept:

y-intercept:

Now plot the two points and

Now draw a line through the two points to graph
graph of through the points and

#2

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

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

So we have these intercepts:
x-intercept:

y-intercept:

Now plot the two points and

Now draw a line through the two points to graph
graph of through the points and