Question

If the points A(-2,-5)B(2,-2)and C(8,j) are Collinear, then the value of j is

Answer 1

Step-by-step explanation:

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Answer 2

The value of j is 10.5.

Step-by-step explanation:

Given : If the points A(-2,-5)B(2,-2)and C(8,j) are collinear.

To find : The value of j?

Solution :  

When three points are collinear then the condition is  

$x_1(y_2 - y_3) + x_2(y_3 - y_1) + x_3(y_1 - y_2) = 0$

Where, $x_1 = -2, x_2 = 2,x_3 = 8, y_1 =-5, y_2 =-2, y_3=j$

Substituting the values,

$-2(-2-j) +2(j-(-5)) +8(-5-2) = 0$

$4+2j+2j+10-56= 0$

$4j-42= 0$

$4j=42$

$j=\frac{42}{4}$

$j=10.5$

Therefore, the value of j is 10.5.

#Learn more

Verify that whether the points (1, 5), (2, 3) and (-2, -1) are collinear or not

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