Question

What is the equation in standard form of the line shown on the graph?

The equation of the line in standard form is

x +
y =
.

Answer 1

To write the equation of a line in standard form, we typically use the format \( Ax + By = C \), where \( A \), \( B \), and \( C \) are integers, and \( A \) should be non-negative.

However, since I can't see the graph you're referring to, let me guide you through the process of finding the equation in standard form:

1. **Identify Two Points on the Line:** Determine two points that lie on the line. These will be in the form \((x_1, y_1)\) and \((x_2, y_2)\).

2. **Calculate the Slope (m):** The slope of the line can be calculated using the formula:
\[
m = \frac{y_2 - y_1}{x_2 - x_1}
\]

3. **Use the Point-Slope Form to Find the Equation:** Choose one of the points, say \((x_1, y_1)\), and use the point-slope form of the equation:
\[
y - y_1 = m(x - x_1)
\]

4. **Convert to Standard Form:**
Rearrange the equation to get it into the standard form \( Ax + By = C \). This typically involves moving all terms involving \( x \) and \( y \) to one side of the equation and the constant term to the other side.

5. **Simplify to Integer Coefficients:** Make sure \( A \), \( B \), and \( C \) are integers, and adjust signs if necessary to ensure \( A \) is non-negative.

If you provide specific points or details from the graph, I can help you derive the equation directly!