Graph this line using intercepts:
x+10y=
–
10

To graph the line given by the equation \( x + 10y = -10 \) using intercepts, we follow these steps:

### Step 1: Find the **x-intercept**
To find the x-intercept, set \( y = 0 \) and solve for \( x \):
\[
x + 10(0) = -10
\]
\[
x = -10
\]
So, the x-intercept is at \( (-10, 0) \).

### Step 2: Find the **y-intercept**
To find the y-intercept, set \( x = 0 \) and solve for \( y \):
\[
0 + 10y = -10
\]
\[
10y = -10
\]
\[
y = -1
\]
So, the y-intercept is at \( (0, -1) \).

### Step 3: Plot the intercepts
- Plot the point \( (-10, 0) \) for the x-intercept.
- Plot the point \( (0, -1) \) for the y-intercept.

### Step 4: Draw the line
Using these two points, draw a straight line through them. This line represents the equation \( x + 10y = -10 \).

Would you like me to provide a visual graph of this? Feel free to ask questions if you need further clarification!

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Here are 5 related questions:
1. How do you determine the slope of the line from the equation?
2. Can this equation be written in slope-intercept form? How?
3. What happens to the intercepts if the equation changes to \( x + 10y = 10 \)?
4. How would you find the intercepts of a quadratic equation?
5. What is the significance of intercepts in real-world applications?

**Tip**: When graphing using intercepts, always remember that you only need two points to define a straight line!

Graph this line using intercepts: x + 10y = -10

Learn how to graph the linear equation x + 10y = -10 using intercepts. This tutorial provides step-by-step instructions for finding both the x- and y-intercepts, plotting them, and drawing the corresponding line. Ideal for students in Grades 7-9.

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