Question

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

Answer 1

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