document.write( "Question 1129600: Write the equation of the line that satisfies the given conditions. Express the final equation in standard form.\r
\n" ); document.write( "\n" ); document.write( "Contains the point (-3, 5) and is PARALLEL to the line x − 5y = 6\r
\n" ); document.write( "\n" ); document.write( "Contains the point (-4, 7) and is PERPENDICULAR to the line 3x − y = 4\r
\n" ); document.write( "\n" ); document.write( "I took this question from the example questions in the textbook to prepare myself for an exam that is coming up soon. I've been stuck on these two problems for around an hour so any and all help is greatly appreciated. Thank you! \n" ); document.write( "
Algebra.Com's Answer #746166 by stanbon(75887)\"\" \"About 
You can put this solution on YOUR website!
Write the equation of the line that satisfies the given conditions. Express the final equation in standard form.
\n" ); document.write( "Contains the point (-3, 5) and is PARALLEL to the line x − 5y = 6
\n" ); document.write( "Solve the equation for \"y\"::
\n" ); document.write( "5y = x-6
\n" ); document.write( "y = (1/5)x-(6/5)
\n" ); document.write( "The slope is 1/5
\n" ); document.write( "----
\n" ); document.write( "Equation of line with slope = 1/5 passing thru point (-3,5)
\n" ); document.write( "(y-5)/(x+3) = 1/5
\n" ); document.write( "x+3 = 5y-25
\n" ); document.write( "----
\n" ); document.write( "Standard Form:: x-5y = -28
\n" ); document.write( "-----------------------\r
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "Contains the point (-4, 7) and is PERPENDICULAR to the line 3x − y = 4
\n" ); document.write( "----
\n" ); document.write( "Find the slope of the given equation::
\n" ); document.write( "y = 3x-4
\n" ); document.write( "slope = 3
\n" ); document.write( "----
\n" ); document.write( "Equation we want must have slope = -1/3 and must pass thru (-4,7)
\n" ); document.write( "y-7 = (-1/3)(x+4)
\n" ); document.write( "Find the standard form::
\n" ); document.write( "x+4 = -3(y-7)
\n" ); document.write( "x+4 = -3y+21
\n" ); document.write( "Ans:: x + 3y = 17
\n" ); document.write( "----------------------------
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
\n" ); document.write( "--------- \n" ); document.write( "
\n" );