Write an equation in slope-intercept form for the line with slope -8 and \( y \)-intercept 9. \( \square=\square \)
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The equation you're looking for will take the form \( y = mx + b \), where \( m \) is the slope and \( b \) is the y-intercept. Given a slope of -8 and a y-intercept of 9, you can plug these values right into the formula. The resulting equation is: \( y = -8x + 9 \). This equation represents a straight line that descends steeply since the slope is negative. Now, let’s think about its implications in the real world! A line like this could represent a trend, like the drop in temperature over time on a particularly chilly day. The steep negative slope indicates that temperatures are falling quickly—pretty relatable if you've experienced a sudden cold front!
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