complete the point slope equation of the line through (1 0) and (6 -3)

Question

How would this be solved y-(-3)=

Answer 1

slope = m = change in y/ change in x = -3/5

y=m(x-k)+h where (k,h) is a point such as (1,0)

y=-(3/5)(x-1)

If you want you can remove the fraction

5y=-3(x-1)

and you could simplify that further

5y=-3x +3

3x+5y = 3

check the answer, plug in each point and see if it works

3(1)+5(0) =3

3=3

3(6)+5(-3) = 3

18-15 = 3

3 = 3