harder gradient

This is the question:

The gradient of the line joining (-1,3) to (p,q) is -2. The gradient of the line joining (p,q) to (5,2) is -1. Calculate the values of p and q

What I have done is created two equations:

(q-3)/(p--1)=-2
and
(2-q)/(5-p)=-1

But what do I do next?

Quote:

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Originally Posted by Paulo1913

This is the question:

The gradient of the line joining (-1,3) to (p,q) is -2. The gradient of the line joining (p,q) to (5,2) is -1. Calculate the values of p and q

What I have done is created two equations:

(q-3)/(p--1)=-2
and
(2-q)/(5-p)=-1

But what do I do next?

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You simplify the two equations:



.... (1)

Do similar with the other.

Then you solve the two equations simultaneously.