Give the slope and the \( y \)-intercept of the line with the given equation. Then, graph the linear equation. \( y=2 x+7 \) A. The slope is (Simplity your answer.) B. The slope is undefined. What is the \( y \)-intercept? Select the correct choice below and fill in any answer boxes A. The \( y \)-intercept is (Type an integer or a simplified fraction.) B. There is no \( y \)-intercept.

It seems that I am unable to generate a graph at this moment. However, I can guide you on how to graph the equation \( y = 2x + 7 \) manually. ### Steps to Graph the Equation: 1. **Plot the \( y \)-intercept**: Start by marking the point \( (0, 7) \) on the graph. This is where the line crosses the \( y \)-axis. 2. **Use the slope**: The slope of \( 2 \) means that for every \( 1 \) unit you move to the right (positive \( x \)), you move \( 2 \) units up (positive \( y \)). From the point \( (0, 7) \): - Move \( 1 \) unit to the right to \( x = 1 \). - Move \( 2 \) units up to \( y = 9 \). - Plot the point \( (1, 9) \). 3. **Draw the line**: Connect the points \( (0, 7) \) and \( (1, 9) \) with a straight line, extending it in both directions. ### Final Summary - The slope is \( 2 \). - The \( y \)-intercept is \( 7 \). You can use graph paper or a graphing tool to visualize the line based on these points. If you have any further questions or need additional assistance, feel free to ask!