https://file.aiquickdraw.com/mathbot/file/1725497638742xuu10pco.jpg

To graph the line using intercepts for the equation \(x - 5y = 10\), we can follow these steps:

### 1. Find the x-intercept:
Set \(y = 0\) in the equation:
\[
x - 5(0) = 10 \implies x = 10
\]
So, the x-intercept is at \((10, 0)\).

### 2. Find the y-intercept:
Set \(x = 0\) in the equation:
\[
0 - 5y = 10 \implies y = -2
\]
So, the y-intercept is at \((0, -2)\).

### 3. Plot the intercepts on the graph:
- Plot the point \((10, 0)\).
- Plot the point \((0, -2)\).

### 4. Draw the line:
Connect the two points with a straight line to graph the equation \(x - 5y = 10\).

Would you like more details or have any questions?

Here are some related questions:
1. How do you find the intercepts of a line given its equation?
2. What is the slope of the line \(x - 5y = 10\)?
3. How would you convert \(x - 5y = 10\) to slope-intercept form?
4. Can you graph a line given only the slope and one point?
5. How do changes in the coefficients of \(x\) and \(y\) affect the graph of a line?

**Tip:** When graphing a line using intercepts, always check your points by substituting them back into the original equation to ensure they satisfy it.

Graph this line using intercepts: x - 5y = 10. Click to select points on the graph.

Learn how to graph the linear equation x - 5y = 10 by finding the x-intercept and y-intercept. Follow a step-by-step process suitable for students in Grades 7-9.

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