Question

The point A is (0, 7), and the point B is (6, 9).

Find the gradient of AB.


(b)The equation of the line AB is x + Py + Q = 0
Find P and Q.​

Answer 1

Answer:

So P=-3 and Q=7/3

Step-by-step explanation:

The point A is (0, 7), and the point B is (6, 9).

Gradient=(9-7)/(6-0)

m=2/6=1/3

(b) The line x+Py+Q=0

y=-x/P-Q/P

this eqn is in the form

y=mx+C

so gradient m=-1/P=1/3

so p=-3

it passes through (0,7)

so 7P+Q=0

Q=-7/P

Q=-7/-3=7/3

So P=-3 and Q=7/3