Question

The graph shown represents a linear function. which of the following equations represents the graph?

Answer 1

To provide you with an accurate answer, I would need to see the graph you're referring to in order to identify key features such as the slope and the y-intercept. However, I can guide you on how to determine the equation of a linear function from a graph.

1. **Identify two points on the line**: Choose two points on the graph where the line crosses grid lines. Let's call these points (x₁, y₁) and (x₂, y₂).

2. **Calculate the slope (m)**: Use the formula for slope, which is:
\[
m = \frac{y₂ - y₁}{x₂ - x₁}
\]

3. **Find the y-intercept (b)**: You can often see where the line crosses the y-axis. This point will have the coordinates (0, b), where b is the y-intercept. If the line does not cross (0, y) directly, you can use one of the points found in step 1 and the slope to calculate b using the formula for a line:
\[
y = mx + b
\]
Rearranging gives:
\[
b = y - mx
\]

4. **Write the equation**: Now that you have the slope (m) and the y-intercept (b), you can write the equation of the line in slope-intercept form:
\[
y = mx + b
\]

If you can provide more information about the graph, or specific points or options for equations, I can assist you further in finding the correct equation.