Question

TIH.
The value of k if( -3, 12),(7 , 6)
&( k,9)
are collinear is_____​

Answer 1

Answer:

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Answer 2

The value of k is 2 if ( -3, 12),(7 , 6)  & ( k,9) are collinear.

• To check the points are collinear, slopes of two pair of points should be equal.
• Collinear points are the points which lie on the same line.
• Given points are (-3,12),(7,6) and (k,9) and the points are collinear.
• We have to find the value of k .
• Now,

Slope between points (-3,12) and (7,6) = Slope between points (7,6) and (k,9)

$\frac{6-12}{7-(-3)}$ = $\frac{9-6}{k-7}$

$\frac{-6}{10}$ = $\frac{3}{k-7}$

k-7 = $\frac{30}{-6}$

k-7 = -5

k = 2

• The value of k is 2.