Question

Write down the equation of a straight line whose gradient is 3/2 and which passes through the point p, where p divide the line segment joining A(-2,6) and B(3,-4) in the ratio 2:3

Answer 1

Step-by-step explanation:

let the co ordinates of p =(x,y)

p(x,y) ={(m1x2+m2x1/m1+m2), (m1y2+m2y1/m1+m2)}

={ 2×3 + 3×(-2)/2+3 , 2×(-4)+3×6/2+3}

= {6-6/5 , -8+18/5}

= (0, 2)

equation of line passing through point P and whose gradient is 3/2.

(Y- y1) = m(X-x1)

(Y -2) 3(X-0)/2

2(Y-2) = 3X

2Y-4 = 3X

3X -2Y + 4 =0