https://file.aiquickdraw.com/mathbot/file/17270458347436w6xdd6d.jpg

To find the standard form equation of the line shown in the graph, we need to determine the slope and the y-intercept.

### Step 1: Identify two points on the line.
From the graph, two points on the line are:
- \( (0, 2) \) (y-intercept)
- \( (2, 4) \)

### Step 2: Calculate the slope.
The formula for the slope \( m \) is:

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

Using the points \( (0, 2) \) and \( (2, 4) \):

\[
m = \frac{4 - 2}{2 - 0} = \frac{2}{2} = 1
\]

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

### Step 3: Use the slope-intercept form to find the equation.
The slope-intercept form of a line is:

\[
y = mx + b
\]

Substitute the slope \( m = 1 \) and the y-intercept \( b = 2 \) into the equation:

\[
y = 1x + 2 \quad \text{or simply} \quad y = x + 2
\]

### Step 4: Convert to standard form.
The standard form of a line is:

\[
Ax + By = C
\]

We can rearrange \( y = x + 2 \) into this form:

\[
x - y = -2
\]

So, the standard form equation of the line is:

\[
x - y = -2
\]

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Do you have any questions or would you like further details?

### Related questions:
1. How do you find the slope of a line from its graph?
2. What is the difference between slope-intercept form and standard form?
3. How can you convert from point-slope form to standard form?
4. What does the slope of 1 represent geometrically?
5. How do you find the y-intercept of a line given its equation?

**Tip:** When converting to standard form, it's often helpful to rearrange the equation so that all variables and constants are integers.

Find the standard form equation of the line graphed below.

Learn how to find the standard form equation of a line from its graph. This problem covers algebraic concepts such as calculating slope, using slope-intercept form, and converting to standard form. Suitable for students in Grades 8-10.

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