SOLUTION: i have 3 questions that are just stumping me 1.) Graph the equation using the intercept method 2x+3y=6 what is the y intercept what is the x intercept t

Question 120031: i have 3 questions that are just stumping me
1.) Graph the equation using the intercept method
2x+3y=6
what is the y intercept
what is the x intercept
thank you kindly

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

(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

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