To determine the value of ( x ) that makes lines ( a ) and ( b ) parallel, you need to ensure that their slopes are equal. If you have the equations of the lines in slope-intercept form ( ( y = mx + b ) ), set the slopes ( m_a ) of line ( a ) equal to the slope ( m_b ) of line ( b ) and solve for ( x ). If the lines are in a different form, you may need to convert them to slope-intercept form or calculate the slopes based on their given equations. Once you find the value of ( x ) that satisfies this condition, the lines will be parallel.
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