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The problem asks to find a linear formula for the given line in the form \( y = a \cdot x + b \), where \( a \) is the slope and \( b \) is the y-intercept.

Let's break down the process:

### Step 1: Identify two points on the line
From the graph, it looks like two points are:
1. \( (0, 90) \) 
2. \( (100, 100) \)

### Step 2: Calculate the slope \( a \)
The slope \( a \) is given by the formula:
\[
a = \frac{y_2 - y_1}{x_2 - x_1}
\]
Substitute the points \( (0, 90) \) and \( (100, 100) \) into the formula:
\[
a = \frac{100 - 90}{100 - 0} = \frac{10}{100} = 0.1
\]

### Step 3: Find the y-intercept \( b \)
The y-intercept is the value of \( y \) when \( x = 0 \). From the point \( (0, 90) \), we can directly see that \( b = 90 \).

### Step 4: Write the equation
Now, substitute \( a = 0.1 \) and \( b = 90 \) into the equation \( y = a \cdot x + b \):
\[
y = 0.1x + 90
\]

This is the linear equation for the given line.

Would you like more details or have any questions? 

Here are 5 related questions to consider:
1. How can we verify that a point lies on a given line?
2. How does changing the slope \( a \) affect the steepness of the line?
3. What happens to the graph if we change the y-intercept \( b \)?
4. How can you determine the slope from a graph with points that are not integers?
5. How would the equation change if the line had a negative slope?

**Tip**: When identifying the slope on a graph, always look for two points where the coordinates are easy to read (like integers).

Compose a linear formula for the given line. Give your answer in the form y = a * x + b for suitable numbers a and b.

Learn how to find the linear equation of a line from its graph by identifying points and calculating the slope and y-intercept. This tutorial is suitable for students in Grades 8-10.

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