The problem requires us to complete a table of values for the linear equation $2x + 5y = 10$ and then draw the graph of the equation. The table has two values we need to find: the value of $y$ when $x = 0$, and the value of $x$ when $y = 0$.

1. Problem Description

The problem requires us to complete a table of values for the linear equation $2x + 5y = 10$ and then draw the graph of the equation. The table has two values we need to find: the value of $y$ when $x = 0$, and the value of $x$ when $y = 0$.

2. Solution Steps

First, we find the value of $y$ when $x = 0$. We substitute $x = 0$ into the equation:

$2(0) + 5y = 10$

$0 + 5y = 10$

$5y = 10$

$y = \frac{10}{5}$

$y = 2$

Next, we find the value of $x$ when $y = 0$. We substitute $y = 0$ into the equation:

$2x + 5(0) = 10$

$2x + 0 = 10$

$2x = 10$

$x = \frac{10}{2}$

$x = 5$

Now, we have two points: $(0, 2)$ and $(5, 0)$. We can plot these points on the coordinate plane and draw a straight line through them to graph the equation $2x + 5y = 10$.

3. Final Answer

The table of values is:

x | 0 | 5

y | 2 | 0

The graph is a line passing through the points (0,2) and (5,0).