Question

If the points (1, 2), (- 5,6) and (p, - 2) are collinear, then find p.​

Answer 1

The value of p is -17.

Step-by-step explanation:

Since we have given that

points (1, 2), (- 5,6) and (p, - 2) are collinear,

So, Slope of (1,2) and (-5,6) would be

$\dfrac{6-2}{-5-1}=\dfrac{4}{-6}=\dfrac{2}{-3}$

Slope of (-5,6) and (p,-2) would be

$\dfrac{-2-6}{p+5}=\dfrac{-8}{p+5}$

Since the points are collinear , so their slopes should be equal to each other.

So, it becomes,

$\dfrac{2}{-3}=\dfrac{-8}{p+5}\\\\2(p+5)=-3\times -8\\\\2p+10=-24\\\\2p=-24-10\\\\2p=-34\\\\p=\dfrac{-34}{2}\\\\p=-17$

Hence, the value of p is -17.

# learn more:

If the point (-5,1), (1,p) and (4,-2)are collinear, then find the value of p

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Answer 2

The value of p is -17.

Step-by-step explanation:

Since we have given that

points (1, 2), (- 5,6) and (p, - 2) are collinear,

So, Slope of (1,2) and (-5,6) would be

Slope of (-5,6) and (p,-2) would be

Since the points are collinear , so their slopes should be equal to each other.

So, it becomes,

Hence, the value of p is -17.

# learn more:

If the point (-5,1), (1,p) and (4,-2)are collinear, then find the value of p