Give the slope and the \( y \)-intercept of the line with the given equation. Then, graph the linear equation. \( y=2 x+8 \) fill in any answer boxes within your choice. A. The \( y \)-intercept is (Type an integer or a simplified fraction.) B. There is no y-intercept.
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The slope of the line \( y = 2x + 8 \) is 2, meaning for every unit increase in \( x \), \( y \) rises by 2 units. The \( y \)-intercept occurs when \( x = 0 \), which gives us \( y = 8 \). So the \( y \)-intercept is 8! A. The \( y \)-intercept is 8. To graph this line, start at the point \( (0, 8) \) on the y-axis. From there, use the slope of 2 to plot more points—move up 2 units and right 1 unit for each step. Draw a straight line through the points you plotted to finish your graph! B. There is no y-intercept.
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