Give the slope and the \( y \)-intercept of the line with the given equation. Then, graph the linear equation. \( y=2 x+8 \) What is the slope? Select the correct choice below and fill in any answer boxes within your choice. A. The slope is (Simplify your answer.) B. The slope is undefined.
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The slope of the line given by the equation \( y = 2x + 8 \) is 2. This is easily identified as the coefficient of \( x \) in the equation. The \( y \)-intercept is 8, which is the constant term in the equation and indicates the point where the line crosses the \( y \)-axis. To graph this equation, you can start by plotting the \( y \)-intercept (0, 8) on the graph. From there, use the slope of 2, which means you rise 2 units up and run 1 unit to the right, to find another point on the line, such as (1, 10). Connect these points with a straight line, and you've successfully graphed the equation!