To find the x- and y-intercepts of the equation $3x - 9y = 10.8$, we proceed as follows:

1. Finding the x-intercept:

The x-intercept occurs when $y = 0$. So, substitute $y = 0$ into the equation and solve for $x$.

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

Thus, the x-intercept is $(3.6, 0)$.

2. Finding the y-intercept:

The y-intercept occurs when $x = 0$. So, substitute $x = 0$ into the equation and solve for $y$.

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

Thus, the y-intercept is $(0, -1.2)$.

Summary:

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

Would you like further details or have any questions?

5 Related Questions:

1. How do you find intercepts for nonlinear equations?
2. Can you find the slope of the line given by $3x - 9y = 10.8$?
3. How do x- and y-intercepts help in graphing lines?
4. What is the significance of intercepts in real-life applications?
5. Can we solve the equation $3x - 9y = 10.8$ for $y$ in terms of $x$?

Tip:

When finding intercepts, always substitute 0 for the other variable to simplify the equation.