document.write( "Question 757922: Really just caught on these two:
\n" ); document.write( "Write the equation of the line which passes through (-4, 2) and is parallel to y = -x + 6 in slope-intercept form.\r
\n" ); document.write( "\n" ); document.write( "Write the equation of the line which passes through (2, -3) and is perpendicular to y = 4x + 7 in standard form. \n" ); document.write( "
Algebra.Com's Answer #461255 by Cromlix(4381)\"\" \"About 
You can put this solution on YOUR website!
y = -x + 6
\n" ); document.write( "Gradient = -1
\n" ); document.write( "Lines parallel to one another
\n" ); document.write( "have the same gradients (m)
\n" ); document.write( "m1 = m2
\n" ); document.write( "Using y - b = m(x - a) with Coords (-4,2)
\n" ); document.write( " y - 2 = -1(x -(-4)
\n" ); document.write( " y - 2 = -1(x + 4)
\n" ); document.write( " y - 2 = -x - 4
\n" ); document.write( " y = -x -4 + 2
\n" ); document.write( " y = -x - 2
\n" ); document.write( "y = 4x + 7
\n" ); document.write( "Gradient = 4
\n" ); document.write( "Lines perpendicular to one
\n" ); document.write( "another have gradients that
\n" ); document.write( "multiply together to give -1
\n" ); document.write( "m1 x m2 = -1
\n" ); document.write( "So second gradient = -1/4
\n" ); document.write( "4 x -1/4 = -1
\n" ); document.write( "Using y - b =m(x - a)with Coords (2,-3)
\n" ); document.write( " y - (-3) = -1/4(x - 2)
\n" ); document.write( " y + 3 = -1/4x + 1/2
\n" ); document.write( " y = -1/4x + 1/2 - 3
\n" ); document.write( " y = -1/4x - 5/2
\n" ); document.write( "OR
\n" ); document.write( " 4y = -x - 10 (Multiplying by 4)
\n" ); document.write( "Hope this helps.
\n" ); document.write( ":-)
\n" ); document.write( " \n" ); document.write( "
\n" );