slope-interept form 1. \( 2 x+y=-15 \rightarrow \)
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To convert the equation \(2x + y = -15\) into slope-intercept form \(y = mx + b\), where \(m\) is the slope and \(b\) is the y-intercept, you want to isolate \(y\). Subtract \(2x\) from both sides to get \(y = -2x - 15\). This tells you that the slope of the line is \(-2\) and the y-intercept is \(-15\), so you can easily graph this line! Understanding slope-intercept form is essential for analyzing linear relationships in various fields. For instance, in economics, slope-intercept form can represent cost functions, showing how total costs change based on production levels. By identifying the slope and y-intercept, businesses can make strategic decisions about pricing and production based on linear projections!