Question

Write the standard form equation(in the form Ax+By=C) for the line which passes through (1,-1) and (-5,-5)

Answer 1

1)

`\displaystyle m=(y_2-y_1)/(x_2-x_1) =(-5-(-1))/(-5-1) =(-4)/(-6)=(2)/(3)`

2)

`y=mx+b= > \\\\-1=(2)/(3) *1+b\\\\b=-(5)/(3)`

3)

`y=(2)/(3) x-(5)/(3)`

4)

`y=(2)/(3) x-(5)/(3)\\\\-(2)/(3) x+y=-(5)/(3) \\\\(2)/(3) x-y=(5)/(3) \\\\2x-3y=5`

Ans: 2x-3y=5