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Find the y-intercept and x-intercept of the line 6x-2y=12

User Lodhb
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2 Answers

1 vote

Answer:

2,-6

Explanation:

the app is desmos btw- very helpful

Find the y-intercept and x-intercept of the line 6x-2y=12-example-1
User Jason Cumberland
by
7.7k points
6 votes

The expression we have is:


6x-2y=12

This is the equation of the line.

To find the y-intercept, we need to find the value for y, when x is equal to 0. So we plug x=0 into our equation:


6(0)-2y=12

And we solve for y:


-2y=12

Divide both sides by -2:


\begin{gathered} (-2y)/(-2)=(12)/(-2) \\ y=-6 \end{gathered}

The y-intercept is at y=-6

In the coordinate form, the y-intercept is (0,-6)

Now, to find the x-intercept, we need to find the value of x, when y=0.

So we plug y=0 into the equation:


6x-2(0)=12

And we solve for x:


6x=12

Divide both sides by 6:


\begin{gathered} (6x)/(6)=(12)/(6) \\ x=2 \end{gathered}

The x-intercept is at x=2

In coordinate form, the x-intercept is: (2,0)

User Alvin John Babu
by
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