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 Algebra Pre-Algebra and Basic Algebra Math Forum

 April 16th, 2013, 09:55 PM #1 Newbie   Joined: Apr 2013 Posts: 2 Thanks: 0 Linear Equations find the equation of a line parallel to 3x + 4y = 8 with the same y-intercept as 5x - 3y = 10 Find the equation of a line parallel to 2x +7y = 10 with the same x-intercept as 3x - 4y = 5 April 17th, 2013, 04:31 AM #2 Member   Joined: Jan 2012 Posts: 80 Thanks: 0 Re: Linear Equations Hi Blaze, You need to find the gradient of the line you want the new line to be parallel to. So you need to rearrange to the form (m is the gradient): The gradient of this line is . Now you need to find the y intercept of the other line. Again you need to rearrange to the form (c is the y intercept): The y intercept of this line is . Now you can use that gradient and y intercept to give the equation for the new line: You should be able to apply the same steps to work out the second question. April 17th, 2013, 05:37 AM #3 Global Moderator   Joined: Dec 2006 Posts: 20,370 Thanks: 2007 To find the y-intercept for 5x - 3y = 10, one puts x = 0 and solves for y, getting y = -10/3. Substituting (x, y) = (0, -10/3) into 3x + 4y gives -40/3. Hence the line parallel to 3x + 4y =8 with y-intercept (0, -10/3) is 3x + 4y = -40/3, or 9x + 12y = -40. April 17th, 2013, 01:21 PM #4 Newbie   Joined: Apr 2013 Posts: 2 Thanks: 0 Re: Linear Equations How would you find the x-intercept though? I figured out how to do the first question April 17th, 2013, 10:07 PM #5 Global Moderator   Joined: Dec 2006 Posts: 20,370 Thanks: 2007 To find the y-intercept for 3x - 4y = 5, one puts y = 0 and solves for x, getting x = 5/3. Tags equations, linear Thread Tools Show Printable Version Email this Page Display Modes Linear Mode Switch to Hybrid Mode Switch to Threaded Mode Similar Threads Thread Thread Starter Forum Replies Last Post kimmi23 Algebra 2 July 20th, 2012 03:28 AM phoenix Calculus 3 October 20th, 2011 06:47 AM mik63171 Algebra 1 January 17th, 2008 05:42 PM Mazaheri Real Analysis 4 January 11th, 2008 07:07 PM phoenix Elementary Math 0 December 31st, 1969 04:00 PM

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