Graph the following features: - Y-intercept \( =-4 \) - Slope \( =2 \)
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Mind Expander
To graph the line with a Y-intercept of \(-4\) and a slope of \(2\), start by plotting the point \((0, -4)\) on the Y-axis. This is where your line crosses the Y-axis. Next, remember that a slope of \(2\) means for every \(1\) unit you move to the right (along the X-axis), you move \(2\) units up (along the Y-axis). From the point \((0, -4)\), move right to \((1, -2)\), then from there move to \((2, 0)\) to find another point. Draw a straight line through these points, and you’ve got your graph! To ensure your graph is accurate, it can be helpful to choose additional points along the line. For a slope of \(2\), you can also go down from \((0, -4)\) and move left: if you go left \(1\) unit to \((-1, -4)\), you can move down \(2\) units to \((-1, -6)\). Then, connect these points! Always double-check your slope by selecting any two points on the line and ensuring the rise over run equals \(2\). Happy graphing!