The answer depends on what lines r and s are, and where point w is.
Chat with our AI personalities
Skew lines. However, it you alter the plane(s) these two lines can become parallel.
28
Suppose the points are P = (r,s) and Q = (t,u) Then gradient of PQ = (u - s)/(t - r) = m, say. Let Z = (x,y) be any point on the line. Then gradient ZP also = m that is (y - s)/(x - r) = m Equating the two expressions for m, (y - s)/(x - r) = (u - s)/(t - r) or y - s = (x - r)*(u - s)/(t - r) y = (x - r)*(u - s)/(t - r) + s = x*m - r*m - s This is of the form y = mx + b, where m is as defined above and b = -r*m + s
If Q = R/S then R = QxS and S = R/Q You can easily replace the letters with numbers such as Q = 2, R = 6 and S = 3 and then write out all three equations and you'll see that they make sense.
t < r