A line AB has equation 2x+3y=14 and DC is parallel to AB.

Question

Part A. Find the gradient of AB, 

The point D has coordinates (3,7)

Part B.(i) Find an equation of the line DC

Part B.(ii) The anle BAD is a right angle. Find an equation of the line AD, giving your answer in the form mx+ny+p=0, where m,n and p are integers

Part C. The line BC has equation 5y-x=6. Find the coordinates of B.

Answer 1

2x+3y=14

y=(-2x+14)/3

slope=-2/3

??????????? yu want parallel line thru point=(3,7) ?????

y=-(2/3)x +konst

projekt line from x=3 tu x=0...deltax=-3, so deltay=-(2/3)*(-3)=+2

thus, y at x=0 be 7+2=9

so y=-(2/3)x+9