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write an equation in standard form for the line that passes through the points (4,5) and has a slope m= 2/3

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luana
[tex]standard\ form: \ Ax+By=C\\\\ slope\ intercept\ form:\\ y=mx+b\\ m=\frac{2}{3}\\\\ y=\frac{2}{3}x+b\ \ \ \ | substitute\ point\ (4,5)\\\\ 5=\frac{2}{3}*4+b\\\\ 5=\frac{8}{3}+b\ \ \ \ | subtract\ \frac{8}{3}\\\\ 5-\frac{8}{3}=b\\\\ b=5-2\frac{2}{3}=2\frac{1}{3}\\\\ y=\frac{2}{3}x+2\frac{1}{3}\ \ \ | subtract\ \frac{2}{3}x\\\\ Solution:\ -\frac{2}{3}x+y=2\frac{1}{3} [/tex]
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