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September 18th, 2014, 07:47 AM  #1 
Newbie Joined: Sep 2014 From: Houston Posts: 1 Thanks: 0  Linear Equation Problem
Find the equation of the line parallel to the graph of 4x+7y=28 that has an x intercept of 3

September 18th, 2014, 08:19 AM  #2 
Math Team Joined: Dec 2013 From: Colombia Posts: 7,344 Thanks: 2466 Math Focus: Mainly analysis and algebra 
If one line is parallel to another, they both have the same gradient. Given a point $P(x,y)$ on the line, the gradient shows how the $x$ and $y$ coordinates of $P$ change with respect to each other as the point moves along the line. The easiest way to see this is to write the equation in the form $$y = mx+c$$ when $m$ is the gradient. If we put $x= 0$ into this equation we get $y=c$, so $c$ is the value at which the line intercepts the yaxis (which has the equation $x=0$). To find the intercept with the xaxis, we not that the xaxis has the equation $y=0$. So, we can put $y=0$ in the equation of the line and solve for $x$. Can you have a go at the question now? 
September 18th, 2014, 01:07 PM  #3 
Global Moderator Joined: May 2007 Posts: 6,560 Thanks: 605  

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