Question

What is the x-intercept of the line with this equation −2x+12y=18?

Enter your answer in the box.

(
, 0)

Answer 1

To find the x-intercept of the line given by the equation \(-2x + 12y = 18\), you need to set \(y = 0\) and solve for \(x\).

Substituting \(y = 0\) into the equation:

\[
-2x + 12(0) = 18
\]

This simplifies to:

\[
-2x = 18
\]

Now, solve for \(x\) by dividing both sides by \(-2\):

\[
x = \frac{18}{-2} = -9
\]

Therefore, the x-intercept is \((-9, 0)\).

So, the answer is:

\[
(-9, 0)
\]