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We are tasked with finding the equation of a line given its x-intercept and y-intercept.

### Information provided:
- **x-intercept** = -10
- **y-intercept** = 10

We can use the **slope-intercept form** of the equation of a line, which is:

\[
y = mx + b
\]

Where:
- \(m\) is the slope,
- \(b\) is the y-intercept.

#### Step 1: Find the slope (\(m\))

We know two points on the line:
1. The x-intercept point \((-10, 0)\),
2. The y-intercept point \((0, 10)\).

To find the slope, we use the formula:

\[
m = \frac{y_2 - y_1}{x_2 - x_1}
\]

Substituting in the points \((-10, 0)\) and \((0, 10)\):

\[
m = \frac{10 - 0}{0 - (-10)} = \frac{10}{10} = 1
\]

So, the slope \(m = 1\).

#### Step 2: Write the equation

Using the slope-intercept form \(y = mx + b\) and substituting \(m = 1\) and \(b = 10\) (the y-intercept):

\[
y = 1x + 10
\]

Thus, the equation of the line is:

\[
y = x + 10
\]

This is the equation in slope-intercept form.

Would you like to explore further or have any questions? Here are some related questions you can consider:

1. How do you convert the slope-intercept form to the general form of a line?
2. What happens if both intercepts are negative?
3. How do you calculate the slope when given two arbitrary points on a line?
4. How can we graph this line based on the equation \(y = x + 10\)?
5. How can the equation of a line change if we rotate the coordinate system?

**Tip:** Always double-check the intercepts on a graph to ensure that the calculated equation aligns with the visual representation.

Find an equation for the line with the given properties. Express your answer using either the general form or the slope-intercept form of the equation of a line. x-intercept = -10; y-intercept = 10

Learn how to find the equation of a line with an x-intercept of -10 and y-intercept of 10. This guide walks through using the slope formula and slope-intercept form to derive the equation y = x + 10. Suitable for Grades 7-10 students studying linear equations.

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