Find the differential equation of all straight lines passing through the point (3,2).
Sign Up to our social questions and Answers Engine to ask questions, answer people’s questions, and connect with other people.
Login to our social questions & Answers Engine to ask questions answer people’s questions & connect with other people.
Verified answer
Let slope of straight line = mthen, General equation of straight line is
(y - y1) = m(x - x1)
y - 2 = m(x - 3) => y = mx - 3m + 2
y = mx - 3m + 2
(y - 2) = m(x - 3)
m = (y -2)/(x - 3) ------(1)
hence, general equation of St. line is
y = mx -3m + 2
now, differentiate with respect to x
dy/dx = m
put equation (1)
dy/dx = (y-2)/(x-3)
Step-by-step explanation:
plz see the attatchment all clear