Question

What are the x and y-intercepts of the line described by the equation?

3x−9y=10.8

Answer 1

To find the x and y-intercepts of the line given by the equation \(3x - 9y = 10.8\), we can follow these steps:

### Finding the x-intercept:

To find the x-intercept, we set \(y = 0\) and solve for \(x\):

\[
3x - 9(0) = 10.8 \\
3x = 10.8 \\
x = \frac{10.8}{3} \\
x = 3.6
\]

So, the x-intercept is \((3.6, 0)\).

### Finding the y-intercept:

To find the y-intercept, we set \(x = 0\) and solve for \(y\):

\[
3(0) - 9y = 10.8 \\
-9y = 10.8 \\
y = \frac{10.8}{-9} \\
y = -1.2
\]

So, the y-intercept is \((0, -1.2)\).

### Summary:

- The x-intercept is \((3.6, 0)\).
- The y-intercept is \((0, -1.2)\).