https://file.aiquickdraw.com/mathbot/file/1724611261315kk8t97qj.jpg

The new image shows a graph with a linear equation plotted on a coordinate plane. The line passes through two points, which we can use to determine the slope-intercept form of the equation.

### Step 1: Identify two points on the line.
From the graph:
- One point seems to be at \((0, -1)\), which is the y-intercept.
- Another point appears to be at \((2, 1)\).

### Step 2: Calculate the slope \(m\).
The slope \(m\) is calculated using the formula:
\[
m = \frac{y_2 - y_1}{x_2 - x_1}
\]
Using the points \((x_1, y_1) = (0, -1)\) and \((x_2, y_2) = (2, 1)\):
\[
m = \frac{1 - (-1)}{2 - 0} = \frac{2}{2} = 1
\]

### Step 3: Write the slope-intercept form equation.
The slope-intercept form is:
\[
y = mx + b
\]
Where \(m = 1\) and \(b = -1\). Thus, the equation is:
\[
y = x - 1
\]

This is the equation of the line in slope-intercept form.

Would you like more details on any specific part of this process, or do you have any further questions?

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Here are 5 questions related to this explanation:
1. What happens to the slope-intercept form if the slope \(m\) is negative?
2. How do you find the slope if the points are far apart on the graph?
3. What is the slope of a horizontal line, and how does that affect the equation?
4. Can the y-intercept ever be a fraction or decimal?
5. How can you check if a point lies on the line given by a slope-intercept equation?

**Tip:** If you know the slope and one point on the line, you can also use the point-slope form to find the equation before converting it to slope-intercept form.

Learn how to convert a linear equation to slope-intercept form with a step-by-step guide. This problem involves identifying points on a graph, calculating the slope, and writing the equation y = mx + b. Suitable for Grades 8-10.

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