What is the equation of a line, in general form, that passes through point (1, -2) and has a slope of 1/3

equation of a line that passes through the point (x1,y1) and has a slope of m is

y-y1=m(x-x1)

given

(1,-2) and slope of 1/3

y-(-2)=1/3(x-1)

general form is ax+by=c (or ax+by+c=0) where a,b,c are integers and a is positive

y-(-2)=1/3(x-1)

y+2=1/3(x-1)

times both sides by 3

3y+6=x-1

minus 3y both sides

6=x-3y-1

add 1 both sides

7=x-3y

x-3y=7

To get ax+by+c=0 form, subtract 7 from both sides to get
x-3y-7=0

x-3y-7=0

Step-by-step explanation:

not only in mathematics, scientific proof also are required in the other field of science. also maths proofs are of particular structure, containing steps and logics. so proving is like doing science, it is science. that's why it is important to prove. 

an inaccurate proof leads to errors, or stating results that are not accurate.  which wil mess the probelm up you dont want this