SOLUTION: Find the following for {{{3x-6y=9}}} y-intercept as an ordered pair => x-intercept as an ordered pair =>

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Question 124958: Find the following for 3x-6y=9

y-intercept as an ordered pair =>

x-intercept as an ordered pair =>


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

3%2Ax-6%2Ay=9 Start with the given equation

Let's find the x-intercept

To find the x-intercept, let y=0 and solve for x:
3%2Ax-6%2A%280%29=9 Plug in y=0

3%2Ax=9 Simplify

x=9%2F3 Divide both sides by 3


x=3 Reduce



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



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3%2Ax-6%2Ay=9 Start with the given equation

Now let's find the y-intercept

To find the y-intercept, let x=0 and solve for y:
3%2A%280%29-6%2Ay=9 Plug in x=0

6%2Ay=9 Simplify

x=9%2F-6 Divide both sides by -6



y=-3%2F2 Reduce



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

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So we have these intercepts:
x-intercept:

y-intercept: