21. In the standard (x,y) coordinate plane, the graph of the line 3x-4y=d passes through the point (-5,6) . What is the value of d? A. -39 B. -9 C. 2 D. 38 E.

To find the value of \( d \) for the line \( 3x - 4y = d \) that passes through the point \((-5, 6)\), we substitute \( x = -5 \) and \( y = 6 \) into the equation.<br /><br />\[ 3(-5) - 4(6) = d \]<br /><br />Calculate each term:<br /><br />\[ 3(-5) = -15 \]<br />\[ -4(6) = -24 \]<br /><br />Add these results together:<br /><br />\[ -15 - 24 = -39 \]<br /><br />So, the value of \( d \) is \(-39\).<br /><br />The correct answer is:<br />A. \(-39\)