SOLUTION: Find the y-intercept and the x-intercept for an equation. 3x - 2y =6 What is the y-intercept? What is the x-intercept? I figured the y-intercept would be (0,3), but I a

Algebra ->  Graphs -> SOLUTION: Find the y-intercept and the x-intercept for an equation. 3x - 2y =6 What is the y-intercept? What is the x-intercept? I figured the y-intercept would be (0,3), but I a      Log On


   

Question 145221: Find the y-intercept and the x-intercept for an equation.
3x - 2y =6
What is the y-intercept?
What is the x-intercept?
I figured the y-intercept would be (0,3), but I am stuck on what is the x-intercept?
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

3%2Ax-2%2Ay=6 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-2%2A%280%29=6 Plug in y=0

3%2Ax=6 Simplify

x=6%2F3 Divide both sides by 3


x=2 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-2%2Ay=6 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%29-2%2Ay=6 Plug in x=0

2%2Ay=6 Simplify

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



y=-3 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: