Question: Question 11 (2 points) Choose the correct graph for the following equation. Pay attention to the…

Question 11 (2 points)

Choose the correct graph for the following equation. Pay attention to the slope and intercepts.

$$y = 2x + 1$$

[Graph of a line with a positive slope passing through the y-axis at (0, 1) and the x-axis at (-0.5, 0)]

Solution

Step 1 Identify the equation: \[ y = 2x + 1 \] Step 2 Determine the slope and y-intercept from the equation: - Slope (\(m\)) = 2 - Y-intercept (\(b\)) = 1 Step 3 Analyze the graph description: - The line has a positive slope of 2. - It intersects the y-axis at 1. Step 4 Compare the equation with the graph: - The slope and y-intercept of the graph match the equation \(y = 2x + 1\). Conclusion: The described graph correctly represents the equation \(y = 2x + 1\).