SOLUTION: what are the x and y- intercept of the line -12x+6y=12

Algebra ->  Expressions-with-variables -> SOLUTION: what are the x and y- intercept of the line -12x+6y=12      Log On


   

Question 118739: what are the x and y- intercept of the line -12x+6y=12
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

-12%2Ax%2B6%2Ay=12 Start with the given equation

Let's find the x-intercept

To find the x-intercept, let y=0 and solve for x:
-12%2Ax%2B6%2A%280%29=12 Plug in y=0

-12%2Ax=12 Simplify

x=12%2F-12 Divide both sides by -12


x=-1 Reduce



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



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

-12%2Ax%2B6%2Ay=12 Start with the given equation

Now let's find the y-intercept

To find the y-intercept, let x=0 and solve for y:
-12%2A%280%29%2B6%2Ay=12 Plug in x=0

-6%2Ay=12 Simplify

x=12%2F6 Divide both sides by 6



y=2 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: