Answer :
[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]
