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# Linear Equations

Your music collection grows by 20 songs every week. If you currently have 1,000 songs, how many weeks will it take to amass 3,500 songs?

The line \(L\) passes through the point \((4,4)\), has slope \(m\) such that \(m<-1\), and has \(x\)-intercept \(a\) and \(y\)-intercept \(b\) such that \(a+b=18\).

What is the value of \(b\)?

There is one point \((a,b)\) such that the line \((k-3)x + (2k+1)y = 14\) passes through \((a,b)\) for all real values of \(k\).

Find \(a+b\).

Two distinct points \((a,b)\) and \((b,c)\) lie on the line \(y=-x+5\) What is the value of \(a-c\)?

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