To solve the equation \( 15x - 10y = -7 \) for \( y \), we can rearrange it into the slope-intercept form \( y = mx + b \), where \( m \) is the slope and \( b \) is the y-intercept.
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Start with the original equation: \[ 15x - 10y = -7 \]
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Isolate \( -10y \) by moving \( 15x \) to the right side: \[ -10y = -15x - 7 \]
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Divide each term by \(-10\): \[ y = \frac{15x}{10} + \frac{7}{10} \]
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Simplify the fractions: \[ y = \frac{3}{2}x + \frac{7}{10} \]
So, the equation in slope-intercept form is: \[ y = \frac{3}{2}x + \frac{7}{10} \]
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